Prime p₀= 726771568268395451 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 76 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 138 140 180 182 198 200
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: 200
Found by: crashtech
db: batch=73, k=12, 2 16 2 40 2 76

STPT(10)	726770600569240847	0 2 42 44 72 74 102 104 144 146	-967699154604
SPT(16)	726770814924426347	0 60 96 116 122 132 164 182 234 252 284 294 300 320 356 416	-753343969104
SPT(16)	726770836243312387	0 22 24 46 52 106 112 120 286 294 300 354 360 382 384 406	-732025083064
TPT(14)	726770937451527389	0 2 42 44 108 110 180 182 192 194 210 212 222 224	-630816868062
SPT(16)	726771209182534937	0 26 42 56 80 92 110 150 152 192 210 222 246 260 276 302	-359085860514
TPT(14)	726771401214006479	0 2 42 44 168 170 210 212 270 272 282 284 300 302	-167054388972
SPT(16)	726771741731394421	0 76 102 108 160 178 216 222 256 262 300 318 370 376 402 478	173462998970
SPT(16)	726771830786746621	0 6 16 22 28 30 48 70 78 100 118 120 126 132 142 148	262518351170
SPT(16)	726771916815241639	0 40 58 84 112 124 130 172 180 222 228 240 268 294 312 352	348546846188
STPT(10)	726772289718970907	0 2 24 26 42 44 60 62 84 86	721450575456
SPT(16)	726772526340409061	0 6 8 38 50 56 60 62 186 188 192 198 210 240 242 248	958072013610