Prime p₀= 253165907666216639 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 12 4 26 18 30 76 30 18 26 4 12 8 (?)
a_n: 0 8 20 24 50 68 98 174 204 222 248 252 264 272
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: 272
Found by: desktop64
db: batch=69, k=14, 8 12 4 26 18 30 76

SPT(14)	253165834764327731	0 8 32 36 60 72 78 200 206 218 242 246 270 278	-72901888908
TPT(12)	253165844665509959	0 2 150 152 162 164 198 200 282 284 360 362	-63000706680
SPT(14)	253165859702877587	0 30 56 60 86 92 102 110 120 126 152 156 182 212	-47963339052
SPT(14)	253165892253435151	0 6 40 42 78 82 90 148 156 160 196 198 232 238	-15412781488
SPT(14)	253165896165612953	0 80 84 108 174 186 204 290 308 320 386 410 414 494	-11500603686
SPT(14)	253165906771000387	0 16 24 30 82 156 180 196 220 294 346 352 360 376	-895216252
TPT(12)	253165908400899467	0 2 24 26 54 56 114 116 120 122 150 152	734682828
SPT(14)	253165934742256369	0 28 54 94 100 114 120 142 148 162 168 208 234 262	27076039730
SPT(14)	253165939481715779	0 2 84 102 122 128 180 212 264 270 290 308 390 392	31815499140
SPT(14)	253165941855075511	0 10 30 40 42 52 66 82 96 106 108 118 138 148	34188858872
SPT(14)	253165956148081103	0 74 84 98 108 116 134 270 288 296 306 320 330 404	48481864464