Prime p₀= 2313112559551079081 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 18 10 42 6 2 78 46 78 2 6 42 10 18 20 (?)
a_n: 0 20 38 48 90 96 98 176 222 300 302 308 350 360 378 398
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: 398
Found by: Orange Kid
db: batch=81, k=16, 20 18 10 42 6 2 78 46

SPT(16)	2313111004660887719	0 18 38 60 68 80 158 182 210 234 312 324 332 354 374 392	-1554890191362
SPT(16)	2313111045787917197	0 12 30 56 86 140 170 174 182 186 216 270 300 326 344 356	-1513763161884
STPT(12)	2313111501895758689	0 2 72 74 102 104 108 110 138 140 210 212	-1057655320392
SPT(16)	2313111754134509623	0 16 36 40 94 106 114 136 198 220 228 240 294 298 318 334	-805416569458
TPT(14)	2313111956250632597	0 2 30 32 84 86 90 92 102 104 132 134 144 146	-603300446484
SPT(16)	2313112086560308673	0 6 44 54 78 90 110 138 206 234 254 266 290 300 338 344	-472990770408
SPT(16)	2313113047330715701	0 22 70 78 102 142 156 172 246 262 276 316 340 348 396 418	487779636620
SPT(16)	2313113371449504553	0 46 96 124 130 154 168 196 228 256 270 294 300 328 378 424	811898425472
SPT(16)	2313113456667925189	0 10 12 40 54 78 88 102 130 144 154 178 192 220 222 232	897116846108
SPT(16)	2313113612525817221	0 66 80 92 102 108 110 128 150 168 170 176 186 198 212 278	1052974738140
SPT(16)	2313113667686854507	0 10 70 90 142 150 184 192 244 252 286 294 346 366 426 436	1108135775426