Prime p₀= 2591908782451740527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2591907321306978431	0 18 30 42 158 170 186 212 276 302 318 330 446 458 470 488	-1461144762096
STPT(10)	2591907475677390851	0 2 30 32 78 80 126 128 156 158	-1306774349676
SPT(16)	2591907895083445019	0 2 14 30 42 50 60 78 134 152 162 170 182 198 210 212	-887368295508
SPT(16)	2591908056973065071	0 38 68 90 168 170 182 206 222 246 258 260 338 360 390 428	-725478675456
STPT(10)	2591908245943168037	0 2 30 32 72 74 114 116 144 146	-536508572490
STPT(10)	2591908371180863549	0 2 42 44 90 92 138 140 180 182	-411270876978
SPT(16)	2591909089086074743	0 24 40 46 84 88 160 186 208 234 306 310 348 354 370 394	306634334216
STPT(10)	2591909689155861647	0 2 42 44 72 74 102 104 144 146	906704121120
SPT(16)	2591910129526659937	0 4 24 46 84 90 114 142 144 172 196 202 240 262 282 286	1347074919410
STPT(10)	2591910480166888301	0 2 36 38 78 80 120 122 156 158	1697715147774
SPT(16)	2591910720146375681	0 30 96 126 146 152 182 212 240 270 300 306 326 356 422 452	1937694635154