Prime p₀= 36570827213386397 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 40 2 34 2 28 2 22 2 (?)
a_n: 0 2 72 74 114 116 150 152 180 182 204 206
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 206
Found by: Odd-Rod
db: batch=65, k=12, 70 40 34 28 22

SPT(14)	36570758787504181	0 18 30 42 48 70 88 102 120 142 148 160 172 190	-68425882216
SPT(14)	36570763039193417	0 2 20 42 56 60 62 150 152 156 170 192 210 212	-64174192980
SPT(14)	36570777402035743	0 18 88 94 100 118 124 144 150 168 174 180 250 268	-49811350654
SPT(14)	36570782905504297	0 66 72 76 90 112 130 132 150 172 186 190 196 262	-44307882100
TPT(12)	36570803453751779	0 2 18 20 60 62 78 80 120 122 132 134	-23759634618
SPT(14)	36570816626724581	0 42 102 110 158 180 182 186 188 210 258 266 326 368	-10586661816
TPT(12)	36570837122679131	0 2 60 62 126 128 138 140 150 152 156 158	9909292734
STPT(10)	36570856240727759	0 2 18 20 30 32 42 44 60 62	29027341362
SPT(14)	36570859200468491	0 8 38 72 126 152 156 272 276 302 356 390 420 428	31987082094
SPT(14)	36570887366577197	0 2 72 96 104 110 132 134 156 162 170 194 264 266	60153190800
SPT(14)	36570889971003539	0 90 120 132 140 152 162 188 198 210 218 230 260 350	62757617142