Prime p₀= 561758884917356279 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 46 24 12 20 48 118 48 20 12 24 46 2 (?)
a_n: 0 2 48 72 84 104 152 270 318 338 350 374 420 422
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: 422
Found by: Rantanplan
db: batch=71, k=14, 2 46 24 12 20 48 118

SPT(14)	561758767721878907	0 20 60 116 140 162 176 186 200 222 246 302 342 362	-117195477372
SPT(14)	561758831074130069	0 48 50 84 98 120 158 174 212 234 248 282 284 332	-53843226210
SPT(14)	561758831568061861	0 16 48 66 88 96 108 118 130 138 160 178 210 226	-53349294418
SPT(14)	561758837686656941	0 2 36 56 90 122 168 170 216 248 282 302 336 338	-47230699338
TPT(12)	561758847821534969	0 2 72 74 102 104 138 140 180 182 348 350	-37095821310
SPT(14)	561758879263559179	0 4 10 42 54 70 82 102 114 130 142 174 180 184	-5653797100
TPT(12)	561758901907803161	0 2 198 200 258 260 288 290 300 302 336 338	16990446882
TPT(12)	561758920364891111	0 2 18 20 120 122 156 158 186 188 258 260	35447534832
SPT(14)	561758951385369571	0 16 40 52 66 130 150 172 192 256 270 282 306 322	66468013292
TPT(12)	561758965312718207	0 2 24 26 84 86 102 104 144 146 150 152	80395361928
TPT(12)	561758972588908691	0 2 18 20 48 50 78 80 210 212 216 218	87671552412