Prime p₀= 976689512205882659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: vinn@[CNT]
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	976688440590079027	0 6 24 46 52 84 94 174 262 342 352 384 390 412 430 436	-1071615803632
SPT(16)	976688687857337657	0 2 42 86 96 104 114 126 170 182 192 200 210 254 294 296	-824348545002
STPT(10)	976688724316044317	0 2 30 32 42 44 54 56 84 86	-787889838342
SPT(16)	976689206723269141	0 40 42 72 90 102 130 138 160 168 196 208 226 256 258 298	-305482613518
SPT(16)	976689250840437769	0 34 40 70 90 108 112 178 204 270 274 292 312 342 348 382	-261365444890
STPT(10)	976689412872431807	0 2 84 86 132 134 180 182 264 266	-99333450852
SPT(16)	976690089756545041	0 10 78 82 96 106 120 148 210 238 252 262 276 280 348 358	577550662382
STPT(10)	976690464459893681	0 2 36 38 78 80 120 122 156 158	952254011022
STPT(10)	976691833018638509	0 2 12 14 90 92 168 170 180 182	2320812755850
STPT(10)	976691913787729817	0 2 30 32 42 44 54 56 84 86	2401581847158
SPT(16)	976692378483704713	0 10 36 94 106 120 130 154 186 210 220 234 246 304 330 340	2866277822054