Prime p₀= 3715479612588826631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Sphynx
db: batch=84, k=10, 2 4 2 40 2

SPT(16)	3715476369605540149	0 24 60 124 130 162 190 192 250 252 280 312 318 382 418 442	-3242983286482
STPT(10)	3715476826641318239	0 2 48 50 90 92 132 134 180 182	-2785947508392
SPT(16)	3715477134254766697	0 10 64 84 94 150 172 202 204 234 256 312 322 342 396 406	-2478334059934
SPT(16)	3715477658616832417	0 64 82 162 226 262 280 292 294 306 324 360 424 504 522 586	-1953971994214
SPT(16)	3715477953723273077	0 26 54 86 96 114 152 170 186 204 242 260 270 302 330 356	-1658865553554
SPT(16)	3715478930765084191	0 22 100 108 112 120 142 148 150 156 178 186 190 198 276 298	-681823742440
STPT(10)	3715479852299118269	0 2 42 44 60 62 78 80 120 122	239710291638
SPT(16)	3715480045961204767	0 10 22 24 42 46 72 94 162 184 210 214 232 234 246 256	433372378136
STPT(10)	3715480475015567351	0 2 36 38 78 80 120 122 156 158	862426740720
SPT(16)	3715480668556298413	0 10 18 70 88 90 106 186 220 300 316 318 336 388 396 406	1055967471782
SPT(16)	3715480926341464999	0 28 78 130 132 138 160 292 300 432 454 460 462 514 564 592	1313752638368