Prime p₀= 561758976109657621 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 30 6 6 24 46 2 46 24 6 6 30 36 (?)
a_n: 0 36 66 72 78 102 148 150 196 220 226 232 262 298
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: 298
Found by: Rantanplan
db: batch=71, k=14, 36 30 6 6 24 46 2

SPT(14)	561758884917356279	0 2 48 72 84 104 152 270 318 338 350 374 420 422	-91192301342
TPT(12)	561758901907803161	0 2 198 200 258 260 288 290 300 302 336 338	-74201854460
TPT(12)	561758920364891111	0 2 18 20 120 122 156 158 186 188 258 260	-55744766510
SPT(14)	561758951385369571	0 16 40 52 66 130 150 172 192 256 270 282 306 322	-24724288050
TPT(12)	561758965312718207	0 2 24 26 84 86 102 104 144 146 150 152	-10796939414
TPT(12)	561758972588908691	0 2 18 20 48 50 78 80 210 212 216 218	-3520748930
SPT(14)	561758976341439367	0 12 30 106 126 142 232 324 414 430 450 526 544 556	231781746
SPT(14)	561758989425758009	0 8 12 32 68 78 90 140 152 162 198 218 222 230	13316100388
TPT(12)	561758991714230207	0 2 30 32 42 44 84 86 102 104 120 122	15604572586
SPT(14)	561758994205312531	0 42 96 106 112 132 160 168 196 216 222 232 286 328	18095654910
SPT(14)	561759009522779567	0 20 32 56 162 176 204 212 240 254 360 384 396 416	33413121946