Prime p₀= 915879716623616669 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 4 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 78 80 108 110 150 152
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: 152
Found by: Theadalus
db: batch=76, k=12, 2 40 2 28 2 4

STPT(10)	915878830423157957	0 2 42 44 72 74 102 104 144 146	-886200458712
STPT(10)	915878862264559379	0 2 18 20 30 32 42 44 60 62	-854359057290
STPT(10)	915879070138752689	0 2 12 14 30 32 48 50 60 62	-646484863980
SPT(16)	915879265837833821	0 2 60 80 156 240 258 270 338 350 368 452 528 548 606 608	-450785782848
SPT(16)	915879317652169877	0 12 24 54 56 114 116 132 164 180 182 240 242 272 284 296	-398971446792
STPT(10)	915879376723890077	0 2 42 44 72 74 102 104 144 146	-339899726592
STPT(10)	915880595789984171	0 2 6 8 48 50 90 92 96 98	879166367502
SPT(16)	915880753373985901	0 6 22 36 66 112 126 132 190 196 210 256 286 300 316 322	1036750369232
SPT(16)	915880797757891081	0 18 88 100 180 238 240 310 336 406 408 466 546 558 628 646	1081134274412
STPT(10)	915880902888566357	0 2 30 32 42 44 54 56 84 86	1186264949688
SPT(16)	915881271145318757	0 12 24 26 44 60 122 144 152 174 236 252 270 272 284 296	1554521702088