Prime p₀= 1273748537398849817 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1273747236614451589	0 42 58 60 118 132 154 184 228 258 280 294 352 354 370 412	-1300784398228
STPT(10)	1273747417151079917	0 2 12 14 72 74 132 134 144 146	-1120247769900
SPT(16)	1273747621764853447	0 10 64 84 120 136 160 196 210 246 270 286 322 342 396 406	-915633996370
SPT(16)	1273747761945517561	0 10 36 42 150 156 162 216 262 316 322 328 436 442 468 478	-775453332256
STPT(10)	1273747904037313181	0 2 36 38 78 80 120 122 156 158	-633361536636
SPT(16)	1273748267374154633	0 116 138 146 150 176 200 224 270 294 318 344 348 356 378 494	-270024695184
STPT(10)	1273748591268356249	0 2 48 50 90 92 132 134 180 182	53869506432
STPT(10)	1273748645703263669	0 2 30 32 60 62 90 92 120 122	108304413852
SPT(16)	1273748725965384079	0 22 64 102 132 160 204 210 214 220 264 292 322 360 402 424	188566534262
SPT(16)	1273749156067970737	0 16 70 72 82 126 130 156 220 246 250 294 304 306 360 376	618669120920
STPT(10)	1273749160405748417	0 2 30 32 42 44 54 56 84 86	623006898600