Prime p₀= 253158329164891957 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 114 54 26 24 10 68 10 24 26 54 114 16 (?)
a_n: 0 16 130 184 210 234 244 312 322 346 372 426 540 556
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: 556
Found by: LeChat51X
db: batch=69, k=14, 16 114 54 26 24 10 68

SPT(14)	253158275167228993	0 48 60 90 106 108 136 210 238 240 256 286 298 346	-53997662964
SPT(16)	253158280499091839	0 20 32 72 78 92 114 120 182 188 210 224 230 270 282 302	-48665800118
SPT(14)	253158295610926831	0 6 88 196 256 262 276 322 336 342 402 510 592 598	-33553965126
SPT(14)	253158311479316897	0 56 120 134 150 180 216 224 260 290 306 320 384 440	-17685575060
SPT(16)	253158317193902189	0 14 20 38 54 90 102 104 108 110 122 158 174 192 198 212	-11970989768
SPT(14)	253158324194174813	0 36 38 66 98 170 240 254 324 396 428 456 458 494	-4970717144
SPT(14)	253158345305287523	0 30 36 44 48 98 138 206 246 296 300 308 314 344	16140395566
SPT(14)	253158373248010679	0 38 42 72 80 140 168 182 210 270 278 308 312 350	44083118722
SPT(14)	253158379324709981	0 12 38 48 50 90 108 152 170 210 212 222 248 260	50159818024
SPT(14)	253158392207386877	0 14 30 54 60 74 102 122 150 164 170 194 210 224	63042494920
SPT(14)	253158399347360707	0 4 84 90 96 100 114 142 156 160 166 172 252 256	70182468750