Prime p₀= 570391685226145271 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 18 78 2 4 18 38 18 4 2 78 18 30 (?)
a_n: 0 30 48 126 128 132 150 188 206 210 212 290 308 338
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: 338
Found by: [SG-2W]Kurzer
db: batch=71, k=14, 30 18 78 2 4 18 38

SPT(14)	570391621202384461	0 12 30 42 90 100 160 168 228 238 286 298 316 328	-64023760810
SPT(14)	570391648812331981	0 40 48 82 90 136 148 150 162 208 216 250 258 298	-36413813290
SPT(14)	570391651321307659	0 28 60 82 100 112 160 210 258 270 288 310 342 370	-33904837612
SPT(14)	570391667311523311	0 16 18 28 46 48 52 66 70 72 90 100 102 118	-17914621960
SPT(14)	570391677468889489	0 22 54 70 132 162 222 232 292 322 384 400 432 454	-7757255782
SPT(14)	570391684503927989	0 8 68 72 98 108 128 162 182 192 218 222 282 290	-722217282
SPT(14)	570391690287274081	0 10 18 28 58 70 78 100 108 120 150 160 168 178	5061128810
SPT(14)	570391707931931323	0 28 70 100 114 120 130 138 148 154 168 198 240 268	22705786052
SPT(14)	570391710257296063	0 6 10 28 36 70 76 108 114 148 156 174 178 184	25031150792
SPT(14)	570391730392382797	0 34 70 96 114 126 132 244 250 262 280 306 342 376	45166237526
TPT(12)	570391737603527207	0 2 54 56 84 86 90 92 102 104 174 176	52377381936