Prime p₀= 1483753726369520657 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: Theadalus
db: batch=78, k=12, 2 28 2 28 2 10

SPT(16)	1483752877967113549	0 22 28 52 90 102 108 120 262 274 280 292 330 354 360 382	-848402407108
SPT(16)	1483752884039549729	0 20 68 72 90 128 134 182 210 258 264 302 320 324 372 392	-842329970928
SPT(16)	1483753063132483477	0 22 66 90 120 166 210 244 252 286 330 376 406 430 474 496	-663237037180
SPT(16)	1483753215249328091	0 8 56 80 90 96 132 146 252 266 302 308 318 342 390 398	-511120192566
SPT(16)	1483753349706707441	0 48 62 90 102 108 192 200 258 266 350 356 368 396 410 458	-376662813216
SPT(16)	1483753581154892071	0 10 58 118 126 162 168 232 246 310 316 352 360 420 468 478	-145214628586
SPT(16)	1483753967038654573	0 10 34 36 66 100 126 136 138 148 174 208 238 240 264 274	240669133916
SPT(16)	1483754096274897683	0 78 84 140 158 176 186 194 210 218 228 246 264 320 326 404	369905377026
SPT(16)	1483754278646418403	0 6 10 36 48 106 136 210 226 300 330 388 400 426 430 436	552276897746
STPT(10)	1483754665553621957	0 2 12 14 42 44 72 74 84 86	939184101300
SPT(16)	1483755088137537629	0 32 42 120 198 204 234 270 302 338 368 374 452 530 540 572	1361768016972