Prime p₀= 2124051710610369413 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 14 4 8 34 14 10 2 4 14 4 38 4 14 4 2 10 14 34 8 4 14 (?)
a_n: 0 14 18 26 60 74 84 86 90 104 108 146 150 164 168 170 180 194 228 236 240 254
All 22 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 254
Found by: MarkRBright
db: batch=80, k=22, 14 4 8 34 14 10 2 4 14 4 38

SPT(16)	2124050865856917467	0 26 44 60 74 114 150 156 194 200 236 276 290 306 324 350	-844753451946
SPT(16)	2124050877159539947	0 66 84 132 136 142 156 166 210 220 234 240 244 292 310 376	-833450829466
SPT(16)	2124050889176715833	0 8 26 38 54 96 116 120 164 168 188 230 246 258 276 284	-821433653580
SPT(16)	2124050922715768621	0 28 100 108 126 136 138 168 178 208 210 220 238 246 318 346	-787894600792
STPT(10)	2124051134071604327	0 2 42 44 72 74 102 104 144 146	-576538765086
SPT(16)	2124051695492251631	0 18 68 80 96 108 116 126 152 162 170 182 198 210 260 278	-15118117782
SPT(16)	2124051713728474121	0 20 26 78 126 138 158 176 180 198 218 230 278 330 336 356	3118104708
SPT(16)	2124052117702892353	0 36 96 148 160 168 184 226 228 270 286 294 306 358 418 454	407092522940
SPT(16)	2124052145575505027	0 24 72 84 102 126 164 212 234 282 320 344 362 374 422 446	434965135614
SPT(16)	2124052264239331421	0 20 30 66 72 78 90 156 182 248 260 266 272 308 318 338	553628962008
SPT(16)	2124052304718473771	0 20 42 56 66 90 140 180 272 312 362 386 396 410 432 452	594108104358