Prime p₀= 249808773417177673 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 62 30 58 2 24 4 24 2 58 30 62 4 (?)
a_n: 0 4 66 96 154 156 180 184 208 210 268 298 360 364
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: 364
Found by: desktop64
db: batch=69, k=14, 4 62 30 58 2 24 4

SPT(14)	249808751434587013	0 34 64 78 96 114 180 184 250 268 286 300 330 364	-21982590660
SPT(14)	249808752631722659	0 12 30 50 60 110 114 140 144 194 204 224 242 254	-20785455014
SPT(14)	249808760167209577	0 6 22 34 90 112 120 136 144 166 222 234 250 256	-13249968096
SPT(14)	249808763954694157	0 16 22 42 64 76 82 114 120 132 154 174 180 196	-9462483516
SPT(14)	249808772617866437	0 20 24 96 104 110 126 134 150 156 164 236 240 260	-799311236
SPT(14)	249808772697619453	0 16 40 70 90 96 108 226 238 244 264 294 318 334	-719558220
SPT(14)	249808786963112863	0 16 48 54 76 120 126 148 154 198 220 226 258 274	13545935190
SPT(14)	249808790463534041	0 20 42 50 62 78 108 122 152 168 180 188 210 230	17046356368
SPT(14)	249808804336700821	0 16 88 142 226 268 280 318 330 372 456 510 582 598	30919523148
SPT(14)	249808828504242373	0 36 78 150 160 168 174 190 196 204 214 286 328 364	55087064700
SPT(14)	249808829542423643	0 20 24 48 56 60 78 86 104 108 116 140 144 164	56125245970