Prime p₀= 1264841372481206489 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: vaughan
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1264839117879787211	0 26 90 102 116 180 212 266 312 366 398 462 476 488 552 578	-2254601419278
STPT(10)	1264839560039730551	0 2 30 32 60 62 90 92 120 122	-1812441475938
STPT(10)	1264840271271136529	0 2 12 14 30 32 48 50 60 62	-1101210069960
SPT(13)	1264840313440104223	0 18 30 54 60 84 114 144 168 174 198 210 228	-1059041102266
SPT(16)	1264840348459925101	0 16 28 40 42 72 106 118 120 132 166 196 198 210 222 238	-1024021281388
STPT(10)	1264841251926819107	0 2 30 32 72 74 114 116 144 146	-120554387382
SPT(16)	1264841566698654983	0 8 36 38 44 78 98 120 134 156 176 210 216 218 246 254	194217448494
STPT(10)	1264841915337094847	0 2 30 32 42 44 54 56 84 86	542855888358
SPT(16)	1264842006687772157	0 24 86 102 116 126 222 236 240 254 350 360 374 390 452 476	634206565668
STPT(10)	1264842500102340581	0 2 36 38 78 80 120 122 156 158	1127621134092
SPT(16)	1264842552477218921	0 26 38 42 56 140 150 180 218 248 258 342 356 360 372 398	1179996012432