Prime p₀= 278904279005056013 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 12 24 18 2 4 26 4 2 18 24 12 24 (?)
a_n: 0 24 36 60 78 80 84 110 114 116 134 158 170 194
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: 194
Found by: vinn@[CNT]
db: batch=69, k=14, 24 12 24 18 2 4 26

SPT(14)	278904217078641493	0 6 76 100 108 124 138 196 210 226 234 258 328 334	-61926414520
SPT(14)	278904218951530019	0 8 30 42 80 108 150 170 212 240 278 290 312 320	-60053525994
SPT(14)	278904246622062701	0 38 56 72 92 98 206 252 360 366 386 402 420 458	-32382993312
SPT(14)	278904250026225497	0 24 50 86 176 200 230 270 300 324 414 450 476 500	-28978830516
SPT(14)	278904268095190421	0 32 48 98 116 126 150 158 182 192 210 260 276 308	-10909865592
SPT(14)	278904269268387041	0 38 56 96 116 122 140 168 186 192 212 252 270 308	-9736668972
TPT(12)	278904289314530609	0 2 30 32 42 44 78 80 90 92 120 122	10309474596
STPT(12)	278904289314530609	0 2 30 32 42 44 78 80 90 92 120 122	10309474596
TPT(12)	278904302516770211	0 2 30 32 78 80 108 110 138 140 150 152	23511714198
SPT(14)	278904304938854107	0 60 84 90 100 120 142 174 196 216 226 232 256 316	25933798094
SPT(14)	278904323253308353	0 40 66 76 90 100 124 126 150 160 174 184 210 250	44248252340