Prime p₀= 2311185116590825789 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 8 58 14 34 14 28 62 28 14 34 14 58 8 4 (?)
a_n: 0 4 12 70 84 118 132 160 222 250 264 298 312 370 378 382
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: 382
Found by: FritzB
db: batch=81, k=16, 4 8 58 14 34 14 28 62

SPT(16)	2311184273157229807	0 22 54 106 112 150 184 186 190 192 226 264 270 322 354 376	-843433595982
SPT(16)	2311184352717582439	0 28 84 100 118 132 138 160 192 214 220 234 252 268 324 352	-763873243350
SPT(16)	2311184425229716051	0 10 12 16 22 66 72 100 108 136 142 186 192 196 198 208	-691361109738
SPT(16)	2311184561692805699	0 24 60 62 120 134 164 174 218 228 258 272 330 332 368 392	-554898020090
SPT(16)	2311184865385357957	0 64 72 102 150 154 196 210 256 270 312 316 364 394 402 466	-251205467832
TPT(14)	2311184947913668667	0 2 42 44 150 152 162 164 222 224 324 326 330 332	-168677157122
TPT(14)	2311185120152220197	0 2 12 14 54 56 174 176 210 212 294 296 354 356	3561394408
TPT(14)	2311185264611950121	0 2 36 38 48 50 288 290 300 302 360 362 378 380	148021124332
SPT(16)	2311185340198530919	0 22 54 88 112 190 210 238 264 292 312 390 414 448 480 502	223607705130
SPT(16)	2311185517697510599	0 40 82 94 144 148 162 190 252 280 294 298 348 360 402 442	401106684810
SPT(16)	2311185573869427131	0 2 48 56 86 108 116 122 126 132 140 162 192 200 246 248	457278601342