Prime p₀= 1083376598287278719 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 16 2 172 2 16 2 28 2 (?)
a_n: 0 2 30 32 48 50 222 224 240 242 270 272
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: 272
Found by: Gumbo
db: batch=76, k=12, 2 28 2 16 2 172

TPT(14)	1083375033300545129	0 2 42 44 132 134 198 200 222 224 258 260 282 284	-1564986733590
SPT(16)	1083375210728405263	0 4 28 30 54 64 78 88 180 190 204 214 238 240 264 268	-1387558873456
SPT(16)	1083375305970547199	0 18 32 60 78 80 98 168 284 354 372 374 392 420 434 452	-1292316731520
STPT(10)	1083375404775703997	0 2 12 14 42 44 72 74 84 86	-1193511574722
SPT(16)	1083375416577443039	0 8 12 44 74 114 180 198 224 242 308 348 378 410 414 422	-1181709835680
SPT(16)	1083376123340789527	0 6 42 64 120 130 132 142 354 364 366 376 432 454 490 496	-474946489192
STPT(10)	1083376897799165951	0 2 36 38 78 80 120 122 156 158	299511887232
SPT(16)	1083377319188690039	0 20 114 132 164 180 222 230 282 290 332 348 380 398 492 512	720901411320
STPT(10)	1083377456753363501	0 2 36 38 78 80 120 122 156 158	858466084782
STPT(10)	1083377576864388899	0 2 18 20 30 32 42 44 60 62	978577110180
STPT(10)	1083377630547110159	0 2 18 20 30 32 42 44 60 62	1032259831440