Prime p₀= 2943175393812597059 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 184 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 228 230 240 242 270 272
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: Landjunge
db: batch=82, k=12, 2 28 2 10 2 184

SPT(16)	2943174756969430169	0 14 68 90 110 194 198 212 270 284 288 372 392 414 468 482	-636843166890
STPT(10)	2943174838112013689	0 2 30 32 60 62 90 92 120 122	-555700583370
SPT(16)	2943175120050972049	0 34 70 102 124 150 220 312 322 414 484 510 532 564 600 634	-273761625010
STPT(10)	2943175145217787157	0 2 60 62 72 74 84 86 144 146	-248594809902
SPT(16)	2943175176315042749	0 20 38 48 54 80 84 98 204 218 222 248 254 264 282 302	-217497554310
SPT(16)	2943175390830814561	0 10 16 60 66 70 78 88 168 178 186 190 196 240 246 256	-2981782498
STPT(10)	2943175786613328347	0 2 12 14 72 74 132 134 144 146	392800731288
SPT(16)	2943176058477369461	0 26 32 36 66 80 116 158 270 312 348 362 392 396 402 428	664664772402
SPT(16)	2943176625086918587	0 34 72 76 82 142 156 174 232 250 264 324 330 334 372 406	1231274321528
TPT(14)	2943176718805104407	0 2 90 92 174 176 222 224 264 266 294 296 300 302	1324992507348
STPT(10)	2943176731625555837	0 2 24 26 42 44 60 62 84 86	1337812958778