Prime p₀= 2888938309584782867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=82, k=10, 2 22 2 16 2

SPT(16)	2888936595121412929	0 10 60 70 88 148 184 214 294 324 360 420 438 448 498 508	-1714463369938
SPT(16)	2888936841677461439	0 30 44 54 90 98 120 132 140 152 174 182 218 228 242 272	-1467907321428
SPT(16)	2888937500057143651	0 6 12 76 88 130 138 142 186 190 198 240 252 316 322 328	-809527639216
SPT(16)	2888937649250189857	0 22 64 82 102 124 162 202 222 262 300 322 342 360 402 424	-660334593010
SPT(18)	2888937663724471367	0 42 74 134 150 176 180 192 222 224 254 266 270 296 312 372 404 446	-645860311500
SPT(16)	2888937727346186531	0 12 38 66 78 80 92 122 126 156 168 170 182 210 236 248	-582238596336
SPT(16)	2888938524060201617	0 12 14 42 56 134 144 170 186 212 222 300 314 342 344 356	214475418750
SPT(16)	2888938766858960869	0 28 58 78 88 124 130 138 190 198 204 240 250 270 300 328	457274178002
SPT(16)	2888938989247738249	0 34 40 58 82 160 168 232 300 364 372 450 474 492 498 532	679662955382
STPT(12)	2888939016807488987	0 2 12 14 24 26 210 212 222 224 234 236	707222706120
SPT(18)	2888939247336539377	0 30 102 142 144 204 210 270 322 354 406 466 472 532 534 574 646 676	937751756510