Prime p₀= 2499516999033451679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2499515937809374769	0 20 32 38 132 168 224 302 360 438 494 530 624 630 642 662	-1061224076910
STPT(10)	2499515960972462207	0 2 12 14 42 44 72 74 84 86	-1038060989472
SPT(16)	2499516407763170629	0 28 30 54 60 70 78 120 148 190 198 208 214 238 240 268	-591270281050
SPT(16)	2499516455156168059	0 30 54 94 100 148 204 208 234 238 294 342 348 388 412 442	-543877283620
STPT(10)	2499516534423725819	0 2 30 32 60 62 90 92 120 122	-464609725860
SPT(16)	2499516818386746143	0 6 14 20 56 66 84 116 138 170 188 198 234 240 248 254	-180646705536
TPT(14)	2499517162738134821	0 2 60 62 120 122 168 170 300 302 396 398 408 410	163704683142
SPT(16)	2499518259298306391	0 48 66 68 78 90 92 168 200 276 278 290 300 302 320 368	1260264854712
STPT(10)	2499518270576744939	0 2 18 20 30 32 42 44 60 62	1271543293260
SPT(16)	2499518592077160839	0 12 50 54 92 122 132 138 164 170 180 210 248 252 290 302	1593043709160
STPT(10)	2499518657051995721	0 2 6 8 18 20 30 32 36 38	1658018544042