Prime p₀= 2623575796070609291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2623574948152620587	0 56 66 72 110 114 140 144 152 156 182 186 224 230 240 296	-847917988704
TPT(14)	2623575005834654087	0 2 60 62 102 104 234 236 240 242 282 284 294 296	-790235955204
SPT(16)	2623575043547122079	0 8 18 20 42 60 120 128 132 140 200 218 240 242 252 260	-752523487212
STPT(10)	2623575087262266869	0 2 42 44 90 92 138 140 180 182	-708808342422
SPT(16)	2623575116561612417	0 74 84 92 120 122 152 162 242 252 282 284 312 320 330 404	-679508996874
SPT(16)	2623575229901656801	0 52 60 88 168 192 198 210 250 262 268 292 372 400 408 460	-566168952490
STPT(10)	2623576020036479771	0 2 6 8 48 50 90 92 96 98	223965870480
STPT(10)	2623576290581546759	0 2 18 20 30 32 42 44 60 62	494510937468
SPT(16)	2623576668987415327	0 6 54 90 124 190 196 214 246 264 270 336 370 406 454 460	872916806036
SPT(16)	2623576694067022171	0 22 66 88 100 108 130 136 252 258 280 288 300 322 366 388	897996412880
STPT(10)	2623577105470906757	0 2 30 32 42 44 54 56 84 86	1309400297466