Prime p₀= 452397544546226063 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 68 10 18 60 12 8 22 8 12 60 18 10 68 (?)
a_n: 0 68 78 96 156 168 176 198 206 218 278 296 306 374
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: 374
Found by: gemini8
db: batch=70, k=14, 68 10 18 60 12 8 22

SPT(14)	452397400081272587	0 50 120 132 204 230 296 300 366 392 464 476 546 596	-144464953476
SPT(14)	452397417464678969	0 20 98 114 132 152 174 188 210 230 248 264 342 362	-127081547094
STPT(10)	452397435347782271	0 2 6 8 48 50 90 92 96 98	-109198443792
TPT(12)	452397436529434271	0 2 30 32 36 38 78 80 120 122 168 170	-108016791792
SPT(16)	452397490458977153	0 116 140 150 188 198 206 228 236 258 266 276 314 324 348 464	-54087248910
TPT(12)	452397501653441417	0 2 12 14 84 86 132 134 150 152 192 194	-42892784646
SPT(14)	452397561234085231	0 6 30 42 52 102 108 220 226 276 286 298 322 328	16687859168
TPT(12)	452397562703477351	0 2 6 8 30 32 36 38 78 80 186 188	18157251288
SPT(14)	452397579279829147	0 4 46 72 76 82 90 136 144 150 154 180 222 226	34733603084
SPT(14)	452397580861858057	0 4 34 40 72 90 96 130 136 154 186 192 222 226	36315631994
SPT(14)	452397581356879391	0 18 38 50 56 120 146 162 188 252 258 270 290 308	36810653328