Prime p₀= 281251736032700789 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 8 4 2 24 22 32 22 24 2 4 8 30 (?)
a_n: 0 30 38 42 44 68 90 122 144 168 170 174 182 212
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: 212
Found by: desktop64
db: batch=69, k=14, 30 8 4 2 24 22 32

SPT(14)	281251652611963729	0 40 108 138 154 174 178 234 238 258 274 304 372 412	-83420737060
TPT(12)	281251674972221099	0 2 12 14 42 44 108 110 150 152 282 284	-61060479690
SPT(14)	281251692475386811	0 10 28 48 106 132 178 180 226 252 310 330 348 358	-43557313978
SPT(14)	281251698968681803	0 10 70 88 94 120 124 150 154 180 186 204 264 274	-37064018986
SPT(14)	281251703089858733	0 36 50 84 140 170 180 224 234 264 320 354 368 404	-32942842056
SPT(14)	281251717220007761	0 30 62 90 108 146 156 272 282 320 338 366 398 428	-18812693028
SPT(14)	281251744552921057	0 16 34 42 70 126 142 144 160 216 244 252 270 286	8520220268
SPT(14)	281251763638198651	0 6 18 36 60 130 156 172 198 268 292 310 322 328	27605497862
SPT(14)	281251765016722967	0 12 24 60 62 74 80 84 90 102 104 140 152 164	28984022178
SPT(14)	281251771653679051	0 58 78 88 148 162 198 280 316 330 390 400 420 478	35620978262
SPT(14)	281251795289720111	0 30 62 90 110 126 152 156 182 198 218 246 278 308	59257019322