Prime p₀= 956858430113762567 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 136 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 210 212 240 242 282 284
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: 284
Found by: HenkM
db: batch=76, k=12, 2 40 2 28 2 136

SPT(16)	956856920369848903	0 60 66 94 114 124 130 136 228 234 240 250 270 298 304 364	-1509743913664
TPT(14)	956857082035767089	0 2 48 50 78 80 90 92 132 134 168 170 282 284	-1348077995478
SPT(16)	956857101919643831	0 8 32 102 152 200 240 282 308 350 390 438 488 558 582 590	-1328194118736
SPT(16)	956857733285493421	0 28 70 82 90 96 130 226 282 378 412 418 426 438 480 508	-696828269146
SPT(16)	956858311214698913	0 60 74 114 126 144 186 236 384 434 476 494 506 546 560 620	-118899063654
TPT(14)	956858430113762549	0 2 18 20 60 62 90 92 228 230 258 260 300 302	-18
TPT(14)	956858721086805851	0 2 30 32 66 68 138 140 150 152 186 188 240 242	290973043284
TPT(14)	956858787633391187	0 2 24 26 42 44 210 212 240 242 252 254 360 362	357519628620
STPT(10)	956858895555793169	0 2 18 20 30 32 42 44 60 62	465442030602
STPT(10)	956859117000687947	0 2 54 56 72 74 90 92 144 146	686886925380
STPT(12)	956859384650460911	0 2 48 50 90 92 138 140 180 182 228 230	954536698344