Prime p₀= 2317193867858137451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Odd-Rod
db: batch=81, k=10, 2 76 2 58 2

STPT(10)	2317193441102203661	0 2 6 8 48 50 90 92 96 98	-426755933790
SPT(18)	2317193502733579231	0 16 42 60 66 136 172 180 198 280 298 306 342 412 418 436 462 478	-365124558220
SPT(16)	2317193525215457957	0 6 26 54 60 92 110 120 206 216 234 266 272 300 320 326	-342642679494
STPT(10)	2317193622831556331	0 2 30 32 78 80 126 128 156 158	-245026581120
SPT(16)	2317193661969812137	0 10 30 36 42 66 70 136 156 222 226 250 256 262 282 292	-205888325314
STPT(10)	2317193818220083301	0 2 36 38 78 80 120 122 156 158	-49638054150
STPT(10)	2317194320514702437	0 2 12 14 42 44 72 74 84 86	452656564986
SPT(16)	2317194812824997857	0 22 42 70 90 112 166 202 204 240 294 316 336 364 384 406	944966860406
STPT(10)	2317195132522382657	0 2 30 32 42 44 54 56 84 86	1264664245206
SPT(16)	2317195543122321101	0 6 8 108 122 140 206 210 248 252 318 336 350 450 452 458	1675264183650
SPT(16)	2317195616633933909	0 18 24 32 42 48 102 104 108 110 164 170 180 188 194 212	1748775796458