Prime p₀= 353719505268091033 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 86 4 14 40 2 22 2 40 14 4 86 10 (?)
a_n: 0 10 96 100 114 154 156 178 180 220 234 238 324 334
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: 334
Found by: desktop64
db: batch=70, k=14, 10 86 4 14 40 2 22

SPT(14)	353719427011427773	0 30 36 58 64 88 126 178 216 240 246 268 274 304	-78256663260
SPT(14)	353719431324218833	0 16 90 124 126 154 180 364 390 418 420 454 528 544	-73943872200
SPT(14)	353719438967119177	0 12 64 102 120 130 144 172 186 196 214 252 304 316	-66300971856
SPT(14)	353719466355754363	0 30 36 40 46 118 154 300 336 408 414 418 424 454	-38912336670
SPT(16)	353719482069080089	0 18 42 88 102 112 118 138 154 174 180 190 204 250 274 292	-23199010944
TPT(12)	353719494381954641	0 2 78 80 90 92 96 98 150 152 210 212	-10886136392
SPT(14)	353719510938713971	0 18 28 46 60 78 100 198 220 238 252 270 280 298	5670622938
SPT(14)	353719514383480771	0 18 22 42 60 100 126 142 168 208 226 246 250 268	9115389738
SPT(14)	353719528913166467	0 32 102 146 150 156 174 242 260 266 270 314 384 416	23645075434
SPT(14)	353719535942319149	0 12 14 32 72 80 102 122 144 152 192 210 212 224	30674228116
TPT(12)	353719541276409767	0 2 114 116 132 134 240 242 252 254 312 314	36008318734