Prime p₀= 2397104097350597561 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 88 2 76 2 40 2 76 2 88 2 (?)
a_n: 0 2 90 92 168 170 210 212 288 290 378 380
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: 380
Found by: Josemi
db: batch=81, k=12, 2 88 2 76 2 40

STPT(10)	2397102146097841877	0 2 30 32 60 62 90 92 120 122	-1951252755684
STPT(10)	2397102213684451451	0 2 6 8 48 50 90 92 96 98	-1883666146110
STPT(10)	2397102272397115649	0 2 42 44 60 62 78 80 120 122	-1824953481912
TPT(14)	2397102714798106829	0 2 132 134 138 140 180 182 192 194 378 380 468 470	-1382552490732
STPT(10)	2397103347872606027	0 2 54 56 72 74 90 92 144 146	-749477991534
STPT(10)	2397103998595995509	0 2 42 44 60 62 78 80 120 122	-98754602052
SPT(16)	2397104392037388749	0 18 20 24 48 72 78 108 224 254 260 284 308 312 314 332	294686791188
TPT(14)	2397104412859214081	0 2 48 50 60 62 78 80 156 158 168 170 210 212	315508616520
SPT(16)	2397104726094921473	0 26 54 80 158 168 248 294 320 366 446 456 534 560 588 614	628744323912
SPT(16)	2397105250788321611	0 38 66 68 180 198 212 248 300 336 350 368 480 482 510 548	1153437724050
SPT(16)	2397105318013827787	0 6 16 34 66 84 130 144 202 216 262 280 312 330 340 346	1220663230226