Prime p₀= 976689412872431807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: vinn@[CNT]
db: batch=76, k=10, 2 82 2 46 2

STPT(10)	976688221992956321	0 2 30 32 60 62 90 92 120 122	-1190879475486
SPT(16)	976688440590079027	0 6 24 46 52 84 94 174 262 342 352 384 390 412 430 436	-972282352780
SPT(16)	976688687857337657	0 2 42 86 96 104 114 126 170 182 192 200 210 254 294 296	-725015094150
STPT(10)	976688724316044317	0 2 30 32 42 44 54 56 84 86	-688556387490
SPT(16)	976689206723269141	0 40 42 72 90 102 130 138 160 168 196 208 226 256 258 298	-206149162666
SPT(16)	976689250840437769	0 34 40 70 90 108 112 178 204 270 274 292 312 342 348 382	-162031994038
STPT(10)	976689512205882659	0 2 18 20 30 32 42 44 60 62	99333450852
SPT(16)	976690089756545041	0 10 78 82 96 106 120 148 210 238 252 262 276 280 348 358	676884113234
STPT(10)	976690464459893681	0 2 36 38 78 80 120 122 156 158	1051587461874
STPT(10)	976691833018638509	0 2 12 14 90 92 168 170 180 182	2420146206702
STPT(10)	976691913787729817	0 2 30 32 42 44 54 56 84 86	2500915298010