Prime p₀= 568104519372717989 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 76 32 52 26 6 4 6 26 52 32 76 2 (?)
a_n: 0 2 78 110 162 188 194 198 204 230 282 314 390 392
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: 392
Found by: marsinph
db: batch=71, k=14, 2 76 32 52 26 6 4

SPT(14)	568104358411961983	0 6 30 40 78 108 138 178 208 238 276 286 310 316	-160960756006
SPT(14)	568104375242877223	0 60 106 136 144 156 210 214 268 280 288 318 364 424	-144129840766
SPT(14)	568104394375663279	0 24 28 60 144 184 190 192 198 238 322 354 358 382	-124997054710
SPT(14)	568104397879104547	0 6 54 84 126 132 184 282 334 340 382 412 460 466	-121493613442
SPT(14)	568104431988624101	0 26 36 42 48 50 116 282 348 350 356 362 372 398	-87384093888
SPT(14)	568104447907490311	0 6 72 88 100 112 142 156 186 198 210 226 292 298	-71465227678
SPT(16)	568104567126805567	0 82 106 160 166 172 180 210 292 322 330 336 342 396 420 502	47754087578
SPT(14)	568104572630938489	0 24 34 54 70 112 132 160 180 222 238 258 268 292	53258220500
TPT(12)	568104576159807989	0 2 30 32 78 80 168 170 198 200 222 224	56787090000
SPT(14)	568104581866443439	0 12 34 60 72 90 102 112 124 142 154 180 202 214	62493725450
TPT(12)	568104585567378059	0 2 72 74 90 92 198 200 210 212 222 224	66194660070