Prime p₀= 10574340765297247 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 26 12 18 10 50 16 50 10 18 12 26 4 (?)
a_n: 0 4 30 42 60 70 120 136 186 196 214 226 252 256
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: 256
Found by: Nosferatu*
db: batch=62, k=14, 4 26 12 18 10 50 16

SPT(14)	10574308181524921	0 12 52 58 100 162 190 228 256 318 360 366 406 418	-32583772326
SPT(14)	10574316720242123	0 24 44 60 66 80 98 216 234 248 254 270 290 314	-24045055124
SPT(14)	10574320044645913	0 30 36 40 64 78 96 178 196 210 234 238 244 274	-20720651334
TPT(14)	10574324044889321	0 2 6 8 78 80 96 98 138 140 246 248 288 290	-16720407926
SPT(14)	10574338127162101	0 10 42 48 52 78 102 238 262 288 292 298 330 340	-2638135146
SPT(14)	10574338773054131	0 8 50 56 60 62 78 80 96 98 102 108 150 158	-1992243116
SPT(14)	10574342957466853	0 6 48 60 88 118 120 136 138 168 196 208 250 256	2192169606
SPT(14)	10574346745454377	0 6 22 34 54 64 90 106 132 142 162 174 190 196	5980157130
TPT(12)	10574350431758411	0 2 18 20 60 62 126 128 270 272 306 308	9666461164
SPT(14)	10574350888411711	0 46 102 112 130 156 172 216 232 258 276 286 342 388	10123114464
SPT(16)	10574352204099301	0 22 46 70 100 148 160 168 190 198 210 258 288 312 336 358	11438802054