Prime p₀= 2506370420083179887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2506369592742790601	0 2 30 32 78 80 126 128 156 158	-827340389286
SPT(16)	2506369659084198983	0 14 50 104 138 168 180 204 284 308 320 350 384 438 474 488	-760998980904
SPT(16)	2506369730783566519	0 18 58 120 130 190 198 204 208 214 222 282 292 354 394 412	-689299613368
SPT(20)	2506369761667891849	0 10 90 94 100 108 144 192 202 220 252 270 280 328 364 372 378 382 462 472	-658415288038
SPT(16)	2506369918987954909	0 24 30 70 138 148 154 190 282 318 324 334 402 442 448 472	-501095224978
SPT(16)	2506370107837589641	0 30 42 48 60 208 238 240 268 270 300 448 460 466 478 508	-312245590246
SPT(16)	2506370518070403293	0 14 30 38 84 114 116 128 156 168 170 200 246 254 270 284	97987223406
STPT(10)	2506370834426701127	0 2 12 14 42 44 72 74 84 86	414343521240
TPT(14)	2506371603847138931	0 2 96 98 126 128 168 170 180 182 198 200 246 248	1183763959044
SPT(16)	2506372792839979747	0 22 24 34 52 66 106 112 144 150 190 204 222 232 234 256	2372756799860
STPT(10)	2506373051184056111	0 2 36 38 78 80 120 122 156 158	2631100876224