Prime p₀= 262724531760468571 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 24 42 38 12 34 26 34 12 38 42 24 16 (?)
a_n: 0 16 40 82 120 132 166 192 226 238 276 318 342 358
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: 358
Found by: davidBAM
db: batch=69, k=14, 16 24 42 38 12 34 26

SPT(14)	262724450939877259	0 40 42 48 58 82 84 88 90 114 124 130 132 172	-80820591312
SPT(16)	262724477870248321	0 36 118 120 166 186 210 246 250 286 310 330 376 378 460 496	-53890220250
TPT(12)	262724485174378949	0 2 78 80 138 140 192 194 252 254 402 404	-46586089622
SPT(14)	262724520514752143	0 38 56 66 68 78 86 150 158 168 170 180 198 236	-11245716428
SPT(16)	262724521312743359	0 20 42 48 62 90 108 162 188 242 260 288 302 308 330 350	-10447725212
SPT(14)	262724524010355581	0 38 80 96 188 206 210 236 240 258 350 366 408 446	-7750112990
SPT(16)	262724537445981263	0 8 20 38 48 80 86 90 116 120 126 158 168 186 198 206	5685512692
SPT(14)	262724542442395703	0 20 50 108 120 126 134 150 158 164 176 234 264 284	10681927132
STPT(10)	262724578189078301	0 2 6 8 18 20 30 32 36 38	46428609730
TPT(12)	262724619032032007	0 2 30 32 90 92 132 134 180 182 222 224	87271563436
SPT(14)	262724638253464151	0 8 50 120 140 150 162 218 230 240 260 330 372 380	106492995580