Prime p₀= 813587708103224051 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: Dr Who Fan
db: batch=73, k=10, 2 4 2 40 2

STPT(10)	813586082335004567	0 2 30 32 42 44 54 56 84 86	-1625768219484
STPT(10)	813586377181823447	0 2 42 44 72 74 102 104 144 146	-1330921400604
STPT(10)	813586545898808579	0 2 18 20 30 32 42 44 60 62	-1162204415472
STPT(10)	813586614327970517	0 2 60 62 72 74 84 86 144 146	-1093775253534
STPT(10)	813586652399122331	0 2 36 38 78 80 120 122 156 158	-1055704101720
SPT(16)	813587329812217523	0 50 56 78 114 146 168 198 236 266 288 320 356 378 384 434	-378291006528
SPT(16)	813588179968310093	0 20 50 90 110 116 176 180 224 228 288 294 314 354 384 404	471865086042
SPT(16)	813588223322613071	0 2 50 120 146 198 212 216 302 306 320 372 398 468 516 518	515219389020
SPT(16)	813588388485114577	0 24 100 102 136 150 156 210 286 340 346 360 394 396 472 496	680381890526
SPT(16)	813588395269615139	0 32 74 150 158 182 198 210 212 224 240 264 272 348 390 422	687166391088
SPT(16)	813588398326458851	0 12 38 50 92 96 120 150 218 248 272 276 318 330 356 368	690223234800