Prime p₀= 389966812719294563 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 14 70 26 18 30 22 30 18 26 70 14 30 (?)
a_n: 0 30 44 114 140 158 188 210 240 258 284 354 368 398
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: 398
Found by: Cruncher Pete
db: batch=70, k=14, 30 14 70 26 18 30 22

SPT(14)	389966679999776329	0 28 60 72 112 130 172 240 282 300 340 352 384 412	-132719518234
SPT(14)	389966686177517231	0 2 18 66 128 150 158 180 188 210 272 320 336 338	-126541777332
SPT(14)	389966695200353861	0 20 36 66 98 102 122 126 146 150 182 212 228 248	-117518940702
SPT(14)	389966733085754969	0 30 48 62 68 78 240 242 404 414 420 434 452 482	-79633539594
SPT(14)	389966742034869817	0 4 30 52 70 72 82 102 112 114 132 154 180 184	-70684424746
SPT(14)	389966778148053503	0 26 38 78 108 150 158 168 176 218 248 288 300 326	-34571241060
SPT(14)	389966816643591557	0 24 30 90 96 102 132 164 194 200 206 266 272 296	3924296994
TPT(12)	389966817227306717	0 2 60 62 102 104 114 116 180 182 192 194	4508012154
TPT(12)	389966842650382199	0 2 12 14 72 74 210 212 312 314 360 362	29931087636
SPT(14)	389966851445271691	0 6 10 28 40 48 70 96 118 126 138 156 160 166	38725977128
SPT(14)	389966852756698141	0 16 28 66 70 72 88 150 166 168 172 210 222 238	40037403578