Prime p₀= 1267506585148080647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1267504475916638261	0 2 30 32 78 80 126 128 156 158	-2109231442386
STPT(10)	1267505649217819301	0 2 66 68 138 140 210 212 276 278	-935930261346
STPT(10)	1267505884568401727	0 2 60 62 72 74 84 86 144 146	-700579678920
STPT(10)	1267505967043654601	0 2 6 8 48 50 90 92 96 98	-618104426046
TPT(14)	1267506057552979001	0 2 6 8 30 32 36 38 90 92 366 368 426 428	-527595101646
SPT(16)	1267506472038497773	0 78 108 150 154 166 168 220 234 286 288 300 304 346 376 454	-113109582874
TPT(14)	1267506616933004447	0 2 30 32 72 74 102 104 114 116 150 152 180 182	31784923800
SPT(13)	1267506649705864921	0 6 48 66 78 90 108 126 138 150 168 210 216	64557784274
SPT(16)	1267506661025550773	0 36 38 78 98 170 210 246 248 284 324 396 416 456 458 494	75877470126
STPT(10)	1267507099239046451	0 2 30 32 78 80 126 128 156 158	514090965804
STPT(10)	1267507310166239837	0 2 30 32 60 62 90 92 120 122	725018159190