Prime p₀= 1240995657971022089 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: rlacr
db: batch=77, k=12, 2 10 2 28 2 4

STPT(10)	1240993810904231381	0 2 6 8 48 50 90 92 96 98	-1847066790708
SPT(16)	1240994139660136391	0 38 62 80 92 132 168 210 230 272 308 348 360 378 402 440	-1518310885698
SPT(16)	1240994451660571877	0 2 12 14 66 104 140 156 230 246 282 320 372 374 384 386	-1206310450212
STPT(12)	1240994717131983089	0 2 12 14 42 44 48 50 78 80 90 92	-940839039000
STPT(10)	1240994738045332181	0 2 6 8 18 20 30 32 36 38	-919925689908
SPT(16)	1240994916748825481	0 20 68 90 110 138 150 206 210 266 278 306 326 348 396 416	-741222196608
SPT(16)	1240995662986628819	0 18 54 78 84 132 152 174 188 210 230 278 284 308 344 362	5015606730
SPT(16)	1240995914207919641	0 18 32 38 56 78 80 120 188 228 230 252 270 276 290 308	256236897552
TPT(14)	1240996141506042461	0 2 78 80 138 140 168 170 180 182 210 212 246 248	483535020372
STPT(10)	1240996481545294289	0 2 12 14 30 32 48 50 60 62	823574272200
SPT(16)	1240996924653037777	0 60 66 130 144 180 184 186 190 192 196 232 246 310 316 376	1266682015688