Prime p₀= 2351592672316363547 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: herby44
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2351590875401523827	0 2 30 32 42 44 54 56 84 86	-1796914839720
STPT(10)	2351591089070348969	0 2 18 20 30 32 42 44 60 62	-1583246014578
STPT(12)	2351591091128119271	0 2 30 32 60 62 138 140 168 170 198 200	-1581188244276
SPT(16)	2351591629824716483	0 44 176 210 246 320 348 354 470 476 504 578 614 648 780 824	-1042491647064
SPT(16)	2351591916142716011	0 48 50 102 146 176 188 200 228 240 252 282 326 378 380 428	-756173647536
STPT(10)	2351592555699197519	0 2 42 44 60 62 78 80 120 122	-116617166028
SPT(16)	2351592707305067549	0 30 92 98 110 120 140 144 218 222 242 252 264 270 332 362	34988704002
SPT(16)	2351593041600709729	0 4 60 70 82 154 172 184 198 210 228 300 312 322 378 382	369284346182
SPT(16)	2351593377157822229	0 14 50 80 92 108 122 150 152 180 194 210 222 252 288 302	704841458682
SPT(16)	2351593905746895811	0 22 70 78 178 190 192 222 238 268 270 282 382 390 438 460	1233430532264
STPT(10)	2351593977438752741	0 2 30 32 60 62 90 92 120 122	1305122389194