Prime p₀= 2680393771724570567 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

SPT(16)	2680391083569482839	0 10 48 52 54 72 90 108 124 142 160 178 180 184 222 232	-2688155087728
STPT(10)	2680391666754612617	0 2 42 44 72 74 102 104 144 146	-2104969957950
SPT(16)	2680391809786957561	0 12 16 42 52 72 120 142 150 172 220 240 250 276 280 292	-1961937613006
SPT(16)	2680392702582227539	0 12 70 114 148 154 222 264 268 310 378 384 418 462 520 532	-1069142343028
STPT(10)	2680392789830573171	0 2 6 8 48 50 90 92 96 98	-981893997396
STPT(10)	2680393633684739801	0 2 6 8 48 50 90 92 96 98	-138039830766
SPT(16)	2680393999505938753	0 30 60 64 100 130 168 186 298 316 354 384 420 424 454 484	227781368186
STPT(10)	2680394149050744881	0 2 126 128 138 140 150 152 276 278	377326174314
STPT(10)	2680394648915135231	0 2 30 32 78 80 126 128 156 158	877190564664
STPT(10)	2680395408208547171	0 2 6 8 18 20 30 32 36 38	1636483976604
STPT(10)	2680395480697995857	0 2 30 32 42 44 54 56 84 86	1708973425290