Prime p₀= 1174286329449158789 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: xii5ku
db: batch=77, k=12, 2 10 2 28 2 4

SPT(16)	1174285036559283661	0 12 22 82 108 112 138 168 190 220 246 250 276 336 346 358	-1292889875128
STPT(10)	1174285263058142237	0 2 30 32 60 62 90 92 120 122	-1066391016552
STPT(10)	1174285596991224197	0 2 30 32 42 44 54 56 84 86	-732457934592
SPT(16)	1174285787099531479	0 18 60 94 148 154 190 214 294 318 354 360 414 448 490 508	-542349627310
STPT(10)	1174285833127860767	0 2 12 14 42 44 72 74 84 86	-496321298022
STPT(10)	1174286182719119537	0 2 60 62 72 74 84 86 144 146	-146730039252
STPT(10)	1174286540306379677	0 2 72 74 102 104 132 134 204 206	210857220888
SPT(16)	1174286659421880547	0 34 82 90 100 124 126 132 154 160 162 186 196 204 252 286	329972721758
SPT(16)	1174287398027342149	0 42 52 88 108 148 192 232 258 298 342 382 402 438 448 490	1068578183360
SPT(16)	1174287575957835667	0 6 40 42 66 160 186 210 226 250 276 370 394 396 430 436	1246508676878
SPT(16)	1174287719707045591	0 42 46 72 90 112 142 148 180 186 216 238 256 282 286 328	1390257886802