Prime p₀= 34258004236754651 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 26 4 18 8 12 28 26 28 12 8 18 4 26 (?)
a_n: 0 26 30 48 56 68 96 122 150 162 170 188 192 218
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: 218
Found by: ChelseaOilman
db: batch=65, k=14, 26 4 18 8 12 28 26

SPT(14)	34257933274312219	0 28 40 54 64 70 82 120 132 138 148 162 174 202	-70962442432
SPT(14)	34257975407438347	0 6 22 60 82 102 112 144 154 174 196 234 250 256	-28829316304
SPT(14)	34257978641783969	0 14 24 30 98 108 120 122 134 144 212 218 228 242	-25594970682
TPT(12)	34257982007297549	0 2 12 14 48 50 72 74 90 92 138 140	-22229457102
SPT(14)	34257990758661181	0 22 66 72 78 88 102 106 120 130 136 142 186 208	-13478093470
SPT(14)	34258004129033077	0 40 64 66 84 144 156 220 232 292 310 312 336 376	-107721574
SPT(14)	34258011673474123	0 30 58 108 138 150 168 178 196 208 238 288 316 346	7436719472
SPT(14)	34258019546311147	0 30 34 66 82 100 112 114 126 144 160 192 196 226	15309556496
SPT(14)	34258023171453607	0 30 52 54 66 70 94 102 126 130 142 144 166 196	18934698956
TPT(12)	34258031156653349	0 2 42 44 78 80 90 92 138 140 192 194	26919898698
SPT(14)	34258036876251827	0 14 20 56 66 104 134 246 276 314 324 360 366 380	32639497176