Prime p₀= 23538276473185777 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 76 8 6 12 10 24 134 24 10 12 6 8 76 (?)
a_n: 0 76 84 90 102 112 136 270 294 304 316 322 330 406
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: 406
Found by: ChelseaOilman
db: batch=65, k=14, 76 8 6 12 10 24 134

SPT(14)	23538220119870041	0 20 26 92 102 120 132 146 158 176 186 252 258 278	-56353315736
SPT(16)	23538223448823481	0 12 28 40 48 76 88 142 156 210 222 250 258 270 286 298	-53024362296
SPT(14)	23538254204134091	0 38 66 78 102 108 116 192 200 206 230 242 270 308	-22269051686
SPT(14)	23538258643398937	0 12 36 54 72 96 106 120 130 154 172 190 214 226	-17829786840
SPT(14)	23538262041474727	0 22 42 46 54 70 72 154 156 172 180 184 204 226	-14431711050
SPT(14)	23538274622321341	0 16 58 60 120 126 130 168 172 178 238 240 282 298	-1850864436
SPT(14)	23538276664623839	0 42 48 72 110 114 122 240 248 252 290 314 320 362	191438062
SPT(14)	23538288940245259	0 48 60 78 102 118 144 148 174 190 214 232 244 292	12467059482
SPT(14)	23538299855200087	0 6 12 34 40 42 126 130 214 216 222 244 250 256	23382014310
SPT(14)	23538304851042581	0 8 12 20 48 68 98 132 162 182 210 218 222 230	28377856804
SPT(14)	23538311972196859	0 4 12 60 82 84 112 192 220 222 244 292 300 304	35499011082