Prime p₀= 2313343840894540697 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 4 56 4 8 40 20 22 20 40 8 4 56 4 20 (?)
a_n: 0 20 24 80 84 92 132 152 174 194 234 242 246 302 306 326
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 326
Found by: WTBroughton
db: batch=81, k=16, 20 4 56 4 8 40 20 22

TPT(14)	2313342812369663609	0 2 12 14 78 80 162 164 318 320 432 434 498 500	-1028524877088
SPT(16)	2313342887062718491	0 40 52 58 70 96 102 112 126 136 142 168 180 186 198 238	-953831822206
SPT(16)	2313343090540723531	0 12 36 42 82 90 108 136 222 250 268 276 316 322 346 358	-750353817166
STPT(10)	2313343522597148771	0 2 36 38 78 80 120 122 156 158	-318297391926
SPT(18)	2313343588559969083	0 6 46 84 136 180 196 228 250 264 286 318 334 378 430 468 508 514	-252334571614
SPT(16)	2313343661059095629	0 2 20 38 98 152 248 258 314 324 420 474 534 552 570 572	-179835445068
STPT(10)	2313343925455892081	0 2 156 158 198 200 240 242 396 398	84561351384
STPT(10)	2313344057163643331	0 2 36 38 78 80 120 122 156 158	216269102634
SPT(16)	2313344148940453021	0 42 126 138 178 186 262 276 292 306 382 390 430 442 526 568	308045912324
STPT(10)	2313344287867795067	0 2 30 32 42 44 54 56 84 86	446973254370
SPT(16)	2313344630329370983	0 48 94 120 130 154 156 186 328 358 360 384 394 420 466 514	789434830286