Prime p₀= 2551149235626917267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2551146820185488549	0 14 38 44 50 128 150 198 230 278 300 378 384 390 414 428	-2415441428718
SPT(16)	2551146834863113577	0 26 44 54 62 104 110 114 182 186 192 234 242 252 270 296	-2400763803690
STPT(10)	2551147250706158771	0 2 6 8 18 20 30 32 36 38	-1984920758496
SPT(16)	2551147297738789861	0 12 16 30 40 82 102 132 166 196 216 258 268 282 286 298	-1937888127406
SPT(20)	2551148024156310763	0 60 78 106 108 120 126 148 150 186 238 274 276 298 304 316 318 346 364 424	-1211470606504
STPT(10)	2551148147355403007	0 2 24 26 42 44 60 62 84 86	-1088271514260
STPT(10)	2551149351913479011	0 2 36 38 78 80 120 122 156 158	116286561744
SPT(16)	2551149427533388951	0 120 126 136 180 198 250 280 288 318 370 388 432 442 448 568	191906471684
SPT(16)	2551149648798810931	0 22 28 82 138 190 210 222 256 268 288 340 396 450 456 478	413171893664
SPT(16)	2551149776720943641	0 12 26 36 38 50 68 96 122 150 168 180 182 192 206 218	541094026374
STPT(10)	2551150097014268171	0 2 36 38 78 80 120 122 156 158	861387350904