Prime p₀= 1337454801684350159 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 34 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 108 110 150 152 180 182
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: 182
Found by: Theadalus
db: batch=77, k=12, 2 28 2 40 2 34

STPT(10)	1337451773329169591	0 2 36 38 78 80 120 122 156 158	-3028355180568
SPT(16)	1337452280023802213	0 56 66 68 96 108 134 140 144 150 176 188 216 218 228 284	-2521660547946
STPT(10)	1337452649211760127	0 2 12 14 72 74 132 134 144 146	-2152472590032
STPT(10)	1337452915526430761	0 2 36 38 78 80 120 122 156 158	-1886157919398
SPT(16)	1337453510026874431	0 22 60 72 102 112 148 162 196 210 246 256 286 298 336 358	-1291657475728
STPT(10)	1337453867277686831	0 2 30 32 78 80 126 128 156 158	-934406663328
SPT(16)	1337455080844274999	0 8 14 48 60 62 78 110 132 164 180 182 194 228 234 242	279159924840
STPT(10)	1337455204940018441	0 2 96 98 198 200 300 302 396 398	403255668282
STPT(10)	1337455690152124967	0 2 54 56 72 74 90 92 144 146	888467774808
STPT(10)	1337456330975341931	0 2 6 8 48 50 90 92 96 98	1529290991772
STPT(10)	1337456353193526689	0 2 12 14 30 32 48 50 60 62	1551509176530