Prime p₀= 2310201709914775709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: FritzB
db: batch=81, k=10, 2 40 2 46 2

STPT(10)	2310199831039895537	0 2 12 14 42 44 72 74 84 86	-1878874880172
SPT(16)	2310200426741235277	0 22 34 36 46 90 112 126 190 204 226 270 280 282 294 316	-1283173540432
SPT(16)	2310200784398452109	0 14 62 72 80 98 104 108 194 198 204 222 230 240 288 302	-925516323600
SPT(16)	2310201503519184101	0 32 50 80 92 120 138 192 236 290 308 336 348 378 396 428	-206395591608
SPT(16)	2310201671097296237	0 24 30 44 56 126 144 156 170 182 200 270 282 296 302 326	-38817479472
SPT(16)	2310201697613824031	0 66 80 86 108 180 198 212 246 260 278 350 372 378 392 458	-12300951678
STPT(10)	2310201738167457227	0 2 30 32 60 62 90 92 120 122	28252681518
SPT(16)	2310202162706367887	0 2 6 20 44 116 140 174 182 216 240 312 336 350 354 356	452791592178
STPT(10)	2310202278622011197	0 2 54 56 72 74 90 92 144 146	568707235488
STPT(10)	2310202363051343687	0 2 54 56 132 134 210 212 264 266	653136567978
STPT(10)	2310202384944764279	0 2 12 14 30 32 48 50 60 62	675029988570