Prime p₀= 1242662447274747617 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 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: Cruncher Pete
db: batch=77, k=12, 2 22 2 4 2 22

SPT(16)	1242660988865594411	0 12 38 68 78 86 102 122 156 176 192 200 210 240 266 278	-1458409153206
SPT(16)	1242661149862180861	0 18 22 46 52 108 138 168 190 220 250 306 312 336 340 358	-1297412566756
STPT(10)	1242661153121108597	0 2 30 32 60 62 90 92 120 122	-1294153639020
STPT(10)	1242661614561792179	0 2 18 20 30 32 42 44 60 62	-832712955438
SPT(16)	1242661984775549257	0 10 34 52 66 126 156 184 252 280 310 370 384 402 426 436	-462499198360
SPT(18)	1242662058712873789	0 22 60 82 84 102 118 148 190 222 264 294 310 328 330 352 390 412	-388561873828
SPT(16)	1242662498070570623	0 14 18 26 60 90 114 138 176 200 224 254 288 296 300 314	50795823006
STPT(10)	1242662526905981939	0 2 18 20 30 32 42 44 60 62	79631234322
STPT(10)	1242662614768575989	0 2 18 20 30 32 42 44 60 62	167493828372
SPT(16)	1242663472012365427	0 6 16 24 40 72 124 150 166 192 244 276 292 300 310 316	1024737617810
SPT(16)	1242663606803654149	0 28 48 58 72 102 114 130 132 148 160 190 204 214 234 262	1159528906532