Prime p₀= 765853615075413047 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 46 2 40 2 46 2 70 2 (?)
a_n: 0 2 72 74 120 122 162 164 210 212 282 284
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: Daniel
db: batch=73, k=12, 2 70 2 46 2 40

STPT(10)	765853045487113931	0 2 6 8 48 50 90 92 96 98	-569588299116
STPT(10)	765853163446572569	0 2 18 20 30 32 42 44 60 62	-451628840478
SPT(16)	765853171257655981	0 42 76 78 82 118 120 148 180 208 210 246 250 252 286 328	-443817757066
SPT(16)	765853323895962871	0 46 60 70 72 130 196 202 240 246 312 370 372 382 396 442	-291179450176
TPT(14)	765853360723458407	0 2 12 14 24 26 54 56 162 164 210 212 240 242	-254351954640
SPT(16)	765853400274879713	0 18 54 80 84 146 174 180 194 200 228 290 294 320 356 374	-214800533334
SPT(16)	765853965410532871	0 22 28 36 52 66 82 120 208 246 262 276 292 300 306 328	350335119824
SPT(16)	765854313178678007	0 20 60 72 92 102 140 162 194 216 254 264 284 296 336 356	698103264960
SPT(16)	765854356194771551	0 2 8 96 110 116 122 126 152 156 162 168 182 270 276 278	741119358504
STPT(10)	765854433287663021	0 2 30 32 78 80 126 128 156 158	818212249974
SPT(16)	765854623790127719	0 14 18 24 30 42 60 72 80 92 110 122 128 134 138 152	1008714714672