Prime p₀= 1136117792723188127 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: stoneageman
db: batch=76, k=12, 2 10 2 16 2 22

SPT(16)	1136116653021773131	0 16 30 90 112 142 190 196 276 282 330 360 382 442 456 472	-1139701414996
STPT(10)	1136116952288080199	0 2 48 50 90 92 132 134 180 182	-840435107928
SPT(13)	1136117120018890043	0 6 24 60 90 144 180 216 270 300 336 354 360	-672704298084
STPT(10)	1136117300729232761	0 2 36 38 78 80 120 122 156 158	-491993955366
STPT(10)	1136117634145512839	0 2 18 20 30 32 42 44 60 62	-158577675288
STPT(10)	1136117733697299719	0 2 42 44 60 62 78 80 120 122	-59025888408
STPT(10)	1136118257697772169	0 2 18 20 30 32 42 44 60 62	464974584042
SPT(16)	1136118289681454887	0 10 34 42 66 82 106 126 190 210 234 250 274 282 306 316	496958266760
TPT(14)	1136118355439824439	0 2 18 20 60 62 72 74 138 140 180 182 198 200	562716636312
SPT(16)	1136118400349023031	0 6 36 48 66 78 80 90 98 108 110 122 140 152 182 188	607625834904
STPT(10)	1136118685199554499	0 2 42 44 60 62 78 80 120 122	892476366372