Prime p₀= 281251703089858733 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 14 34 56 30 10 44 10 30 56 34 14 36 (?)
a_n: 0 36 50 84 140 170 180 224 234 264 320 354 368 404
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: 404
Found by: desktop64
db: batch=69, k=14, 36 14 34 56 30 10 44

SPT(14)	281251643831996599	0 4 24 48 90 108 124 138 154 172 214 238 258 262	-59257862134
SPT(14)	281251646560283149	0 28 60 70 72 90 100 102 112 130 132 142 174 202	-56529575584
SPT(14)	281251652611963729	0 40 108 138 154 174 178 234 238 258 274 304 372 412	-50477895004
TPT(12)	281251674972221099	0 2 12 14 42 44 108 110 150 152 282 284	-28117637634
SPT(14)	281251692475386811	0 10 28 48 106 132 178 180 226 252 310 330 348 358	-10614471922
SPT(14)	281251698968681803	0 10 70 88 94 120 124 150 154 180 186 204 264 274	-4121176930
SPT(14)	281251717220007761	0 30 62 90 108 146 156 272 282 320 338 366 398 428	14130149028
SPT(14)	281251736032700789	0 30 38 42 44 68 90 122 144 168 170 174 182 212	32942842056
SPT(14)	281251744552921057	0 16 34 42 70 126 142 144 160 216 244 252 270 286	41463062324
SPT(14)	281251763638198651	0 6 18 36 60 130 156 172 198 268 292 310 322 328	60548339918
SPT(14)	281251765016722967	0 12 24 60 62 74 80 84 90 102 104 140 152 164	61926864234