Prime p₀= 2339451414399714917 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 30 4 24 2 78 6 10 6 78 2 24 4 30 26 (?)
a_n: 0 26 56 60 84 86 164 170 180 186 264 266 290 294 324 350
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: 350
Found by: Landjunge
db: batch=81, k=16, 26 30 4 24 2 78 6 10

SPT(16)	2339449902429739523	0 6 36 120 140 146 156 158 186 188 198 204 224 308 338 344	-1511969975394
TPT(14)	2339450059215532181	0 2 120 122 246 248 270 272 336 338 396 398 426 428	-1355184182736
TPT(14)	2339450610590059661	0 2 36 38 60 62 78 80 198 200 246 248 366 368	-803809655256
SPT(16)	2339451050240825539	0 28 42 64 82 142 174 184 228 238 270 330 348 370 384 412	-364158889378
SPT(16)	2339451149622570559	0 34 52 90 142 154 162 168 184 190 198 210 262 300 318 352	-264777144358
SPT(16)	2339451162480245783	0 6 68 84 98 104 138 156 158 176 210 216 230 246 308 314	-251919469134
SPT(16)	2339451503528059769	0 18 30 38 72 140 150 162 170 182 192 260 294 302 314 332	89128344852
STPT(10)	2339451583194691319	0 2 12 14 90 92 168 170 180 182	168794976402
SPT(16)	2339451855312523907	0 20 26 60 62 72 90 102 140 152 170 180 182 216 222 242	440912808990
SPT(16)	2339452909264628879	0 38 72 80 120 134 138 164 168 194 198 212 252 260 294 332	1494864913962
STPT(10)	2339453422389580769	0 2 18 20 30 32 42 44 60 62	2007989865852