Prime p₀= 1277902754754456707 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 46 2 22 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 114 116 162 164 204 206
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: 206
Found by: MarkRBright
db: batch=77, k=12, 2 40 2 46 2 22

STPT(10)	1277901099560016047	0 2 30 32 42 44 54 56 84 86	-1655194440660
SPT(16)	1277901504985635149	0 44 98 120 140 170 188 200 228 240 258 288 308 330 384 428	-1249768821558
SPT(16)	1277901509306252371	0 36 90 106 160 178 258 268 288 298 378 396 450 466 520 556	-1245448204336
STPT(10)	1277901770990254307	0 2 42 44 72 74 102 104 144 146	-983764202400
SPT(16)	1277901879979086361	0 6 60 76 96 130 156 168 310 322 348 382 402 418 472 478	-874775370346
SPT(16)	1277902400109920803	0 4 40 96 100 106 150 166 168 184 228 234 238 294 330 334	-354644535904
STPT(10)	1277903337945692369	0 2 18 20 30 32 42 44 60 62	583191235662
STPT(10)	1277903498862595271	0 2 6 8 18 20 30 32 36 38	744108138564
STPT(10)	1277903786693900447	0 2 12 14 72 74 132 134 144 146	1031939443740
STPT(10)	1277903922400928321	0 2 36 38 78 80 120 122 156 158	1167646471614
SPT(16)	1277903925400893823	0 6 18 36 60 76 88 114 130 156 168 184 208 226 238 244	1170646437116