Prime p₀= 561758951385369571 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 24 12 14 64 20 22 20 64 14 12 24 16 (?)
a_n: 0 16 40 52 66 130 150 172 192 256 270 282 306 322
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: 322
Found by: Rantanplan
db: batch=71, k=14, 16 24 12 14 64 20 22

SPT(14)	561758837686656941	0 2 36 56 90 122 168 170 216 248 282 302 336 338	-113698712630
TPT(12)	561758847821534969	0 2 72 74 102 104 138 140 180 182 348 350	-103563834602
SPT(14)	561758879263559179	0 4 10 42 54 70 82 102 114 130 142 174 180 184	-72121810392
SPT(14)	561758884917356279	0 2 48 72 84 104 152 270 318 338 350 374 420 422	-66468013292
TPT(12)	561758901907803161	0 2 198 200 258 260 288 290 300 302 336 338	-49477566410
TPT(12)	561758920364891111	0 2 18 20 120 122 156 158 186 188 258 260	-31020478460
TPT(12)	561758965312718207	0 2 24 26 84 86 102 104 144 146 150 152	13927348636
TPT(12)	561758972588908691	0 2 18 20 48 50 78 80 210 212 216 218	21203539120
SPT(14)	561758976109657621	0 36 66 72 78 102 148 150 196 220 226 232 262 298	24724288050
SPT(14)	561758976341439367	0 12 30 106 126 142 232 324 414 430 450 526 544 556	24956069796
SPT(14)	561758989425758009	0 8 12 32 68 78 90 140 152 162 198 218 222 230	38040388438