Prime p₀= 4816519447760309 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 6 12 6 6 6 22 6 6 6 12 6 14 (?)
a_n: 0 14 20 32 38 44 50 72 78 84 90 102 108 122
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: 122
Found by: Dario666
db: batch=61, k=14, 14 6 12 6 6 6 22

SPT(14)	4816482865588657	0 22 40 42 70 72 84 142 154 156 184 186 204 226	-36582171652
SPT(14)	4816492251776207	0 30 84 90 92 120 122 132 134 162 164 170 224 254	-27195984102
TPT(12)	4816492500073097	0 2 54 56 60 62 180 182 282 284 294 296	-26947687212
SPT(14)	4816500391365517	0 4 12 24 40 52 70 96 114 126 142 154 162 166	-19056394792
SPT(14)	4816500984562327	0 30 34 40 42 54 82 114 142 154 156 162 166 196	-18463197982
SPT(14)	4816501329698651	0 36 50 80 116 126 132 176 182 192 228 258 272 308	-18118061658
SPT(14)	4816521503147623	0 34 40 58 78 90 106 168 184 196 216 234 240 274	2055387314
TPT(12)	4816527393155327	0 2 24 26 42 44 54 56 120 122 150 152	7945395018
SPT(14)	4816532989706687	0 14 30 42 56 60 72 74 86 90 104 116 132 146	13541946378
TPT(12)	4816533663327401	0 2 96 98 168 170 210 212 246 248 276 278	14215567092
SPT(14)	4816533807735487	0 10 24 40 66 84 136 204 256 274 300 316 330 340	14359975178