Prime p₀= 1537414087466193269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: crashtech
db: batch=78, k=10, 2 10 2 76 2

SPT(16)	1537412437765419469	0 60 90 108 114 118 132 174 238 280 294 298 304 322 352 412	-1649700773800
STPT(10)	1537412775840202991	0 2 36 38 78 80 120 122 156 158	-1311625990278
SPT(16)	1537412851810276957	0 6 10 36 60 76 102 126 130 154 180 196 220 246 250 256	-1235655916312
SPT(20)	1537413048565763249	0 18 72 138 158 212 254 264 350 374 438 462 548 558 600 654 674 740 794 812	-1038900430020
SPT(16)	1537413239679521929	0 18 30 58 60 88 102 148 222 268 282 310 312 340 352 370	-847786671340
STPT(10)	1537413986180641157	0 2 30 32 42 44 54 56 84 86	-101285552112
STPT(10)	1537414154708498159	0 2 42 44 60 62 78 80 120 122	67242304890
STPT(10)	1537414165317233051	0 2 30 32 60 62 90 92 120 122	77851039782
STPT(10)	1537414178488770887	0 2 30 32 42 44 54 56 84 86	91022577618
SPT(16)	1537414209035132677	0 12 22 60 82 84 132 174 280 322 370 372 394 432 442 454	121568939408
SPT(16)	1537414427758737289	0 4 10 12 54 88 112 144 178 210 234 268 310 312 318 322	340292544020