Prime p₀= 2370680393591770607 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: arkiss
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2370679506743535761	0 8 42 48 56 68 96 138 140 182 210 222 230 236 270 278	-886848234846
STPT(10)	2370679550575582031	0 2 36 38 78 80 120 122 156 158	-843016188576
STPT(10)	2370679853780602631	0 2 36 38 78 80 120 122 156 158	-539811167976
STPT(10)	2370680084064035501	0 2 6 8 18 20 30 32 36 38	-309527735106
STPT(10)	2370680208718234067	0 2 12 14 72 74 132 134 144 146	-184873536540
TPT(14)	2370680281797714527	0 2 42 44 84 86 102 104 114 116 132 134 264 266	-111794056080
STPT(12)	2370680597719993367	0 2 12 14 54 56 90 92 132 134 144 146	204128222760
SPT(16)	2370681025926135889	0 10 42 82 88 94 168 220 222 274 348 354 360 400 432 442	632334365282
STPT(10)	2370681112039494269	0 2 78 80 120 122 162 164 240 242	718447723662
STPT(10)	2370681141779156117	0 2 30 32 162 164 294 296 324 326	748187385510
SPT(16)	2370681527449301243	0 14 56 74 80 104 146 156 158 168 210 234 240 258 300 314	1133857530636