Prime p₀= 278882371955026003 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 52 14 4 24 2 34 2 24 4 14 52 24 (?)
a_n: 0 24 76 90 94 118 120 154 156 180 184 198 250 274
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: 274
Found by: [AF>Amis des Lapins] Ceclo
db: batch=69, k=14, 24 52 14 4 24 2 34

SPT(14)	278882303294958977	0 12 26 32 54 56 102 104 150 152 174 180 194 206	-68660067026
SPT(16)	278882314129005113	0 38 48 66 80 140 168 176 198 206 234 294 308 326 336 374	-57826020890
TPT(12)	278882342965328411	0 2 36 38 78 80 126 128 240 242 246 248	-28989697592
SPT(14)	278882343486064553	0 36 78 96 114 134 138 176 180 200 218 236 278 314	-28468961450
STPT(10)	278882353114814717	0 2 30 32 72 74 114 116 144 146	-18840211286
SPT(14)	278882366911406663	0 54 96 108 138 140 170 264 294 296 326 338 380 434	-5043619340
TPT(12)	278882372377131371	0 2 36 38 90 92 120 122 168 170 186 188	422105368
SPT(14)	278882379557687041	0 6 28 30 36 58 66 82 90 112 118 120 142 148	7602661038
SPT(14)	278882385272179121	0 6 86 96 108 116 138 158 180 188 200 210 290 296	13317153118
SPT(14)	278882388218858239	0 28 30 72 88 118 160 180 222 252 268 310 312 340	16263832236
SPT(14)	278882393594924837	0 44 72 84 120 146 170 216 240 266 302 314 342 386	21639898834