Prime p₀= 2158076956115818217 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2158076355184710641	0 62 72 116 128 198 228 300 308 380 410 480 492 536 546 608	-600931107576
STPT(10)	2158076645991889451	0 2 6 8 48 50 90 92 96 98	-310123928766
STPT(10)	2158076668825129469	0 2 18 20 30 32 42 44 60 62	-287290688748
STPT(10)	2158076691286945697	0 2 30 32 72 74 114 116 144 146	-264828872520
SPT(16)	2158076786687805947	0 6 20 96 104 144 150 152 174 176 182 222 230 306 320 326	-169428012270
SPT(16)	2158076835452376427	0 4 102 124 210 220 294 304 312 322 396 406 492 514 612 616	-120663441790
STPT(10)	2158077236192007551	0 2 36 38 78 80 120 122 156 158	280076189334
TPT(14)	2158077415384453721	0 2 6 8 90 92 96 98 138 140 210 212 240 242	459268635504
SPT(20)	2158077618228791197	0 16 46 126 136 142 180 190 234 246 340 352 396 406 444 450 460 540 570 586	662112972980
SPT(16)	2158077652545299323	0 34 66 88 108 126 168 196 258 286 328 346 366 388 420 454	696429481106
STPT(10)	2158077774290237411	0 2 96 98 108 110 120 122 216 218	818174419194