Prime p₀= 248715606723923837 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 14 46 14 18 22 14 22 18 14 46 14 42 (?)
a_n: 0 42 56 102 116 134 156 170 192 210 224 270 284 326
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: 326
Found by: desktop64
db: batch=69, k=14, 42 14 46 14 18 22 14

SPT(14)	248715553885979261	0 56 90 156 158 162 198 200 236 240 242 308 342 398	-52837944576
TPT(12)	248715555230873579	0 2 60 62 78 80 120 122 162 164 198 200	-51493050258
SPT(14)	248715560846443963	0 24 60 90 100 130 166 228 264 294 304 334 370 394	-45877479874
SPT(14)	248715596668482721	0 18 72 88 108 112 120 130 138 142 162 178 232 250	-10055441116
SPT(14)	248715597358175351	0 8 48 60 62 68 92 108 132 138 140 152 192 200	-9365748486
SPT(14)	248715602116658671	0 40 42 66 78 82 88 120 126 130 142 166 168 208	-4607265166
SPT(14)	248715624581950517	0 12 24 62 92 110 162 164 216 234 264 302 314 326	17858026680
SPT(14)	248715646862594687	0 12 14 20 42 74 80 84 90 122 144 150 152 164	40138670850
SPT(14)	248715653683937729	0 32 38 78 80 84 90 92 98 102 104 144 150 182	46960013892
SPT(14)	248715676777064071	0 58 60 82 120 126 130 138 142 148 186 208 210 268	70053140234
SPT(14)	248715686462567591	0 2 12 102 150 192 242 276 326 368 416 506 516 518	79738643754