Prime p₀= 353719514383480771 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 4 20 18 40 26 16 26 40 18 20 4 18 (?)
a_n: 0 18 22 42 60 100 126 142 168 208 226 246 250 268
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: 268
Found by: desktop64
db: batch=70, k=14, 18 4 20 18 40 26 16

SPT(14)	353719438967119177	0 12 64 102 120 130 144 172 186 196 214 252 304 316	-75416361594
SPT(14)	353719466355754363	0 30 36 40 46 118 154 300 336 408 414 418 424 454	-48027726408
SPT(16)	353719482069080089	0 18 42 88 102 112 118 138 154 174 180 190 204 250 274 292	-32314400682
TPT(12)	353719494381954641	0 2 78 80 90 92 96 98 150 152 210 212	-20001526130
SPT(14)	353719505268091033	0 10 96 100 114 154 156 178 180 220 234 238 324 334	-9115389738
SPT(14)	353719510938713971	0 18 28 46 60 78 100 198 220 238 252 270 280 298	-3444766800
SPT(14)	353719528913166467	0 32 102 146 150 156 174 242 260 266 270 314 384 416	14529685696
SPT(14)	353719535942319149	0 12 14 32 72 80 102 122 144 152 192 210 212 224	21558838378
TPT(12)	353719541276409767	0 2 114 116 132 134 240 242 252 254 312 314	26892928996
SPT(14)	353719551438995699	0 18 24 132 138 140 152 180 192 194 200 308 314 332	37055514928
SPT(14)	353719578580674653	0 48 50 128 140 156 168 188 200 216 228 306 308 356	64197193882