Prime p₀= 2767569651316269461 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 16 2 88 2 16 2 28 2 (?)
a_n: 0 2 30 32 48 50 138 140 156 158 186 188
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: 188
Found by: JayPi
db: batch=82, k=12, 2 28 2 16 2 88

SPT(16)	2767568032478135741	0 50 60 96 98 138 222 240 248 266 350 390 392 428 438 488	-1618838133720
SPT(16)	2767568117676812627	0 24 42 60 92 102 140 182 192 234 272 282 314 332 350 374	-1533639456834
SPT(16)	2767568188571453651	0 2 30 72 90 138 168 182 198 212 242 290 308 350 378 380	-1462744815810
SPT(16)	2767568932851122761	0 12 28 58 72 100 102 106 162 166 168 196 210 240 256 268	-718465146700
TPT(14)	2767569443419927871	0 2 6 8 96 98 168 170 180 182 270 272 390 392	-207896341590
STPT(10)	2767569466480987307	0 2 42 44 72 74 102 104 144 146	-184835282154
STPT(10)	2767569826654049111	0 2 30 32 60 62 90 92 120 122	175337779650
SPT(16)	2767571224194262711	0 10 18 36 46 88 142 190 228 276 330 372 382 400 408 418	1572877993250
STPT(10)	2767571382900803819	0 2 18 20 30 32 42 44 60 62	1731584534358
SPT(16)	2767571583498865951	0 10 36 118 132 150 178 216 352 390 418 436 450 532 558 568	1932182596490
STPT(10)	2767571615818048841	0 2 6 8 48 50 90 92 96 98	1964501779380