The pioneer study of Semino et al (2004) found J1b M365 at rates of 1-2% in Turkey and Georgia.
As important as where a haplogroup/SNP is found, it's also very important where a haplogroup/SNP is not found.
No J1b M365 was ever found in Middle East populations of Arab and Jewish origins.
No J1b M365 was found in the Iranian sample analysed in Regueiro et al (2006).
Iran: Tricontinental Nexus for Y-Chromosome Driven Migration
Hum Hered 2006;61:132–143. DOI: 10.1159/000093774
No J1b M365 was ever found in North Africa
No J1b was found at any Spanish or Hispanic population (no one from the Castilian Meseta, Catalonia, Basque Country, Andalusia) with the exception of the already mentioned Western Iberian cases from Portugal and one case in Galicia.
No Portuguese Cristão Novo (Anusim) or Cigano (Gypsi, Gusmão et al. A Perspective on the History of the Iberian Gypsies Provided by Phylogeographic Analysis of Y-Chromosome Lineages) has been reported as J1b M365.
So up to date J1b M365 has been socially found only in samples from Anatolia-Caucasus and samples from Western Iberia-Portugal and in Portuguese colonists)
Map of J1b M365 cases:
2 SNP confirmed cases of J1b in 491 Portuguese samples in FTDNA 2/491 (jun/2008) and 2 cases of J1b (presumed haplotypes) in SMGF in 611 Brazilian samples 2/611 ! YHRD shows 2 cases (presumed haplotypes) in 68 Azoreans tested 2/68, and one J1b (presumed haplotype) in 244 Northern Portuguese samples 1/244 in Paula Sánchez-Diz et al. Population and segregation data on 17 Y-STRs: results of a GEP-ISFG collaborative study. 674 haplotyes from Portugal+Brasil+Argentina in the Supplemental Material
The occurrence of M365+ in the Portuguese male population seems to be around 0,2-0,8%, because the Portuguese J1b modal haplotype with the characteristic J1 M365+ DNA signature (DYS393=13, 390=22, 19=15) has been found in almost every representative Portuguese DNA populational sample collected, what means a fraction of 0,2 to 0,8% of the total Portuguese Y DNA (45 millions) in Portugal (5 millions) and in Brazil (40 millions), what could perhaps be an indication of the J1b M365 contribution in the founding stages of the ethnogenesis of the Proto-Portuguese people, language and political organization 1500 years ago.