Prime p₀= 2501726839451935559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 46 2 10 2

SPT(16)	2501725613302124887	0 46 82 150 196 276 300 304 342 346 370 450 496 564 600 646	-1226149810672
SPT(18)	2501725618326786491	0 2 6 30 78 80 90 132 168 170 206 248 258 260 308 332 336 338	-1221125149068
SPT(16)	2501725782291069571	0 52 58 90 108 118 132 142 276 286 300 310 328 360 366 418	-1057160865988
SPT(16)	2501726019795932089	0 12 30 70 72 90 132 172 210 250 292 310 312 352 370 382	-819656003470
TPT(14)	2501726151211653239	0 2 18 20 102 104 150 152 168 170 210 212 240 242	-688240282320
STPT(10)	2501726212979471897	0 2 12 14 42 44 72 74 84 86	-626472463662
SPT(16)	2501727386242501063	0 10 48 70 100 108 126 238 306 418 436 444 474 496 534 544	546790565504
SPT(16)	2501727679070950387	0 4 24 30 36 72 84 114 142 172 184 220 226 232 252 256	839619014828
TPT(14)	2501728025336201369	0 2 12 14 138 140 168 170 198 200 222 224 240 242	1185884265810
STPT(10)	2501728104351729509	0 2 12 14 90 92 168 170 180 182	1264899793950
SPT(16)	2501728256176534841	0 26 32 96 98 128 150 152 156 158 180 210 212 276 282 308	1416724599282