Prime p₀= 2327415233625233819 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 14 24 46 20 18 10 98 10 18 20 46 24 14 30 (?)
a_n: 0 30 44 68 114 134 152 162 260 270 288 308 354 378 392 422
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: 422
Found by: Orange Kid
db: batch=81, k=16, 30 14 24 46 20 18 10 98

STPT(10)	2327413878508409321	0 2 36 38 78 80 120 122 156 158	-1355116824498
SPT(16)	2327414120470500521	0 26 50 56 66 96 140 180 272 312 356 386 396 402 426 452	-1113154733298
TPT(14)	2327414513117425007	0 2 84 86 90 92 180 182 222 224 234 236 264 266	-720507808812
SPT(18)	2327414944903759553	0 56 98 108 120 126 140 156 170 204 218 234 248 254 266 276 318 374	-288721474266
SPT(18)	2327414956499680739	0 72 138 200 222 224 258 278 294 368 384 404 438 440 462 524 590 662	-277125553080
SPT(16)	2327414996677303283	0 84 144 186 210 230 266 314 336 384 420 440 464 506 566 650	-236947930536
STPT(10)	2327415410192167121	0 2 30 32 78 80 126 128 156 158	176566933302
STPT(10)	2327415469122430031	0 2 36 38 78 80 120 122 156 158	235497196212
SPT(16)	2327415499113923209	0 34 82 88 90 154 162 190 192 220 228 292 294 300 348 382	265488689390
STPT(10)	2327415549649546397	0 2 30 32 42 44 54 56 84 86	316024312578
SPT(16)	2327415704999590859	0 38 42 78 104 108 122 132 170 180 194 198 224 260 264 302	471374357040