Prime p₀= 316564762771624181 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 26 66 18 22 20 10 74 10 20 22 18 66 26 (?)
a_n: 0 26 92 110 132 152 162 236 246 266 288 306 372 398
All 14 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: Theadalus
db: batch=70, k=14, 26 66 18 22 20 10 74

SPT(14)	316564671153528157	0 34 70 76 84 96 100 180 184 196 204 210 246 280	-91618096024
SPT(14)	316564674180472489	0 4 48 84 88 90 118 204 232 234 238 274 318 322	-88591151692
TPT(12)	316564694833957697	0 2 12 14 24 26 54 56 150 152 162 164	-67937666484
TPT(12)	316564695320226719	0 2 42 44 78 80 132 134 168 170 252 254	-67451397462
SPT(16)	316564735079861263	0 10 24 58 114 118 156 210 244 298 336 340 396 430 444 454	-27691762918
SPT(14)	316564748179431629	0 20 72 80 114 164 170 192 198 248 282 290 342 362	-14592192552
SPT(14)	316564778228241841	0 18 42 48 72 90 100 228 238 256 280 286 310 328	15456617660
SPT(14)	316564799540520941	0 18 36 42 60 72 90 128 146 158 176 182 200 218	36768896760
SPT(14)	316564814496644353	0 40 54 84 100 126 150 154 178 204 220 250 264 304	51725020172
SPT(14)	316564815685383269	0 42 50 102 158 162 170 210 218 222 278 330 338 380	52913759088
SPT(14)	316564823504132449	0 4 30 72 94 102 138 154 190 198 220 262 288 292	60732508268