Prime p₀= 4816500984562327 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 4 6 2 12 28 32 28 12 2 6 4 30 (?)
a_n: 0 30 34 40 42 54 82 114 142 154 156 162 166 196
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: 196
Found by: Dario666
db: batch=61, k=14, 30 4 6 2 12 28 32

SPT(14)	4816481287925401	0 12 52 66 70 90 96 112 118 138 142 156 196 208	-19696636926
SPT(14)	4816481620860199	0 12 28 52 70 82 112 180 210 222 240 264 280 292	-19363702128
SPT(14)	4816482865588657	0 22 40 42 70 72 84 142 154 156 184 186 204 226	-18118973670
SPT(14)	4816492251776207	0 30 84 90 92 120 122 132 134 162 164 170 224 254	-8732786120
TPT(12)	4816492500073097	0 2 54 56 60 62 180 182 282 284 294 296	-8484489230
SPT(14)	4816500391365517	0 4 12 24 40 52 70 96 114 126 142 154 162 166	-593196810
SPT(14)	4816501329698651	0 36 50 80 116 126 132 176 182 192 228 258 272 308	345136324
SPT(14)	4816519447760309	0 14 20 32 38 44 50 72 78 84 90 102 108 122	18463197982
SPT(14)	4816521503147623	0 34 40 58 78 90 106 168 184 196 216 234 240 274	20518585296
TPT(12)	4816527393155327	0 2 24 26 42 44 54 56 120 122 150 152	26408593000
SPT(14)	4816532989706687	0 14 30 42 56 60 72 74 86 90 104 116 132 146	32005144360