Prime p₀= 120088067492468303 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 8 18 34 18 24 14 24 18 34 18 8 18 (?)
a_n: 0 18 26 44 78 96 120 134 158 176 210 228 236 254
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: 254
Found by: bluestick.eu
db: batch=67, k=14, 18 8 18 34 18 24 14

SPT(14)	120088000560030469	0 40 52 114 120 124 142 150 168 172 178 240 252 292	-66932437834
SPT(14)	120088004740905247	0 36 72 124 126 156 210 226 280 310 312 364 400 436	-62751563056
SPT(16)	120088031773352191	0 22 42 48 58 82 96 118 120 142 156 180 190 196 216 238	-35719116112
SPT(14)	120088040638485481	0 28 46 66 70 78 90 106 118 126 130 150 168 196	-26853982822
TPT(12)	120088060632793439	0 2 42 44 60 62 90 92 168 170 180 182	-6859674864
TPT(12)	120088065568515479	0 2 12 14 30 32 42 44 78 80 120 122	-1923952824
SPT(14)	120088073571206359	0 10 12 34 112 154 190 222 258 300 378 400 402 412	6078738056
SPT(14)	120088074420524449	0 18 30 40 82 100 130 150 180 198 240 250 262 280	6928056146
SPT(14)	120088094274830089	0 4 48 64 88 90 102 160 172 174 198 214 258 262	26782361786
SPT(14)	120088096573869233	0 14 18 68 78 116 134 150 168 206 216 266 270 284	29081400930
SPT(14)	120088125317984711	0 30 56 108 110 116 138 158 180 186 188 240 266 296	57825516408