Prime p₀= 1263375836770190657 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 16 2 88 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 132 134 150 152 174 176
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: 176
Found by: xii5ku
db: batch=77, k=12, 2 22 2 16 2 88

STPT(10)	1263374874106407911	0 2 30 32 60 62 90 92 120 122	-962663782746
SPT(16)	1263375092477285759	0 2 38 90 104 170 174 192 230 248 252 318 332 384 420 422	-744292904898
SPT(16)	1263375476052179207	0 50 84 110 144 152 194 240 284 330 372 380 414 440 474 524	-360718011450
SPT(16)	1263375521247994397	0 6 24 50 90 92 116 126 140 150 174 176 216 242 260 266	-315522196260
SPT(16)	1263375631770743849	0 54 80 108 138 158 168 180 212 224 234 254 284 312 338 392	-204999446808
STPT(10)	1263375710721031727	0 2 30 32 42 44 54 56 84 86	-126049158930
SPT(16)	1263376070047144409	0 20 42 80 110 114 168 182 240 254 308 312 342 380 402 422	233276953752
STPT(10)	1263376287112944419	0 2 48 50 60 62 72 74 120 122	450342753762
SPT(16)	1263376435990926079	0 18 34 60 102 130 208 250 372 414 492 520 562 588 604 622	599220735422
SPT(16)	1263376737050980003	0 34 40 48 60 70 90 118 126 154 174 184 196 204 210 244	900280789346
TPT(14)	1263376951538274017	0 2 90 92 174 176 210 212 252 254 282 284 324 326	1114768083360