Prime p₀= 1295370483558844937 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 106 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 180 182 192 194 252 254
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: 254
Found by: Cruncher Pete
db: batch=77, k=12, 2 58 2 10 2 106

SPT(16)	1295368779129558739	0 28 84 90 100 118 124 138 184 198 204 222 232 238 294 322	-1704429286198
SPT(18)	1295369005359892063	0 40 54 66 94 96 154 178 250 264 336 360 418 420 448 460 474 514	-1478198952874
SPT(16)	1295369146415451859	0 24 42 52 58 72 160 162 190 192 280 294 300 310 328 352	-1337143393078
STPT(10)	1295369626051576259	0 2 30 32 60 62 90 92 120 122	-857507268678
SPT(16)	1295369753737669609	0 24 28 84 94 108 112 124 138 150 154 168 178 234 238 262	-729821175328
STPT(10)	1295369812287685427	0 2 42 44 72 74 102 104 144 146	-671271159510
STPT(10)	1295370511781456987	0 2 30 32 60 62 90 92 120 122	28222612050
SPT(16)	1295370512533836481	0 10 36 40 42 58 70 72 136 138 150 166 168 172 198 208	28974991544
SPT(16)	1295370518979083273	0 80 86 126 138 168 180 188 258 266 278 308 320 360 366 446	35420238336
SPT(16)	1295370834943653407	0 32 66 80 84 102 104 132 344 372 374 392 396 410 444 476	351384808470
STPT(10)	1295371068552055067	0 2 24 26 42 44 60 62 84 86	584993210130