Prime p₀= 947661623036452151 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 40 2 4 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 126 128 168 170 246 248
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: 248
Found by: Theadalus
db: batch=76, k=12, 2 76 2 40 2 4

SPT(16)	947660824571485669	0 40 52 60 72 88 108 124 198 214 234 250 262 270 282 322	-798464966482
SPT(16)	947660909406950033	0 44 50 80 86 116 120 140 144 164 168 198 204 234 240 284	-713629502118
SPT(16)	947661090603489421	0 66 108 126 148 180 250 252 316 318 388 420 442 460 502 568	-532432962730
SPT(16)	947661455251480547	0 32 42 44 54 102 114 120 194 200 212 260 270 272 282 314	-167784971604
SPT(16)	947661531390936737	0 26 72 156 194 216 254 264 272 282 320 342 380 464 510 536	-91645515414
SPT(16)	947661598537600909	0 18 28 42 78 88 112 130 180 198 222 232 268 282 292 310	-24498851242
STPT(10)	947662039447962827	0 2 72 74 102 104 132 134 204 206	416411510676
TPT(14)	947662224015367877	0 2 30 32 102 104 174 176 330 332 342 344 420 422	600978915726
STPT(10)	947662523925219041	0 2 30 32 60 62 90 92 120 122	900888766890
SPT(16)	947663018263750267	0 12 30 72 76 90 120 154 252 286 316 330 334 376 394 406	1395227298116
SPT(16)	947663112985262371	0 22 70 90 118 166 190 196 222 228 252 300 328 348 396 418	1489948810220