Prime p₀= 976688724316044317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: vinn@[CNT]
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	976687701605233907	0 14 42 86 92 116 126 156 170 200 210 234 240 284 312 326	-1022710810410
TPT(14)	976687825371715109	0 2 30 32 42 44 102 104 120 122 132 134 198 200	-898944329208
STPT(10)	976687918370778371	0 2 6 8 18 20 30 32 36 38	-805945265946
STPT(10)	976688221992956321	0 2 30 32 60 62 90 92 120 122	-502323087996
SPT(16)	976688440590079027	0 6 24 46 52 84 94 174 262 342 352 384 390 412 430 436	-283725965290
SPT(16)	976688687857337657	0 2 42 86 96 104 114 126 170 182 192 200 210 254 294 296	-36458706660
SPT(16)	976689206723269141	0 40 42 72 90 102 130 138 160 168 196 208 226 256 258 298	482407224824
SPT(16)	976689250840437769	0 34 40 70 90 108 112 178 204 270 274 292 312 342 348 382	526524393452
STPT(10)	976689412872431807	0 2 84 86 132 134 180 182 264 266	688556387490
STPT(10)	976689512205882659	0 2 18 20 30 32 42 44 60 62	787889838342
SPT(16)	976690089756545041	0 10 78 82 96 106 120 148 210 238 252 262 276 280 348 358	1365440500724