Prime p₀= 4814916009050893 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 64 6 114 12 8 22 2 22 8 12 114 6 64 (?)
a_n: 0 64 70 184 196 204 226 228 250 258 270 384 390 454
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: 454
Found by: [B@P] Daniel
db: batch=61, k=14, 64 6 114 12 8 22 2

SPT(14)	4814884328395909	0 10 18 88 94 108 148 174 214 228 234 304 312 322	-31680654984
SPT(16)	4814898323997929	0 12 48 98 122 164 170 198 224 252 258 300 324 374 410 422	-17685052964
TPT(12)	4814899916202917	0 2 72 74 102 104 114 116 132 134 162 164	-16092847976
SPT(14)	4814903464344931	0 6 46 72 90 118 132 136 150 178 196 222 262 268	-12544705962
SPT(14)	4814903825390999	0 30 42 48 60 72 104 138 170 182 194 200 212 242	-12183659894
SPT(16)	4814913559058549	0 50 72 78 90 104 114 144 188 218 228 242 254 260 282 332	-2449992344
SPT(14)	4814926671545569	0 18 28 34 52 54 82 90 118 120 138 144 154 172	10662494676
SPT(16)	4814933657588753	0 6 14 24 66 110 114 116 138 140 144 188 230 240 248 254	17648537860
SPT(14)	4814934454615643	0 18 24 30 44 74 114 164 204 234 248 254 260 278	18445564750
SPT(14)	4814934759302531	0 26 48 50 68 78 92 96 110 120 138 140 162 188	18750251638
TPT(12)	4814938742840927	0 2 24 26 30 32 42 44 54 56 120 122	22733790034