Prime p₀= 2780586415654820987 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: conf [MM]
db: batch=82, k=12, 2 10 2 28 2 16

TPT(14)	2780585476661573387	0 2 72 74 144 146 204 206 240 242 312 314 330 332	-938993247600
SPT(20)	2780585626620756761	0 20 32 80 156 200 210 212 240 242 300 302 330 332 342 386 462 510 522 542	-789034064226
STPT(10)	2780586051423014249	0 2 18 20 30 32 42 44 60 62	-364231806738
SPT(16)	2780586264108607781	0 8 38 72 138 162 192 210 290 308 338 362 428 462 492 500	-151546213206
SPT(16)	2780586296446538179	0 18 88 124 174 178 202 210 262 270 294 298 348 384 454 472	-119208282808
SPT(16)	2780586331191981881	0 18 48 62 72 86 90 116 132 158 162 176 186 200 230 248	-84462839106
STPT(10)	2780586497748351659	0 2 48 50 90 92 132 134 180 182	82093530672
SPT(16)	2780586530787972013	0 46 70 78 130 154 174 240 274 340 360 384 436 444 468 514	115133151026
SPT(16)	2780586621395214209	0 48 102 120 144 158 162 180 182 200 204 218 242 260 314 362	205740393222
STPT(10)	2780586639436858079	0 2 42 44 60 62 78 80 120 122	223782037092
SPT(16)	2780587295124143467	0 36 84 106 112 124 132 184 222 274 282 294 300 322 370 406	879469322480