Prime p₀= 128269675480306523 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 30 4 68 28 6 74 6 28 68 4 30 14 (?)
a_n: 0 14 44 48 116 144 150 224 230 258 326 330 360 374
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: 374
Found by: amazing
db: batch=67, k=14, 14 30 4 68 28 6 74

SPT(14)	128269608311782279	0 18 24 82 88 90 130 132 172 174 180 238 244 262	-67168524244
SPT(14)	128269618328366017	0 10 16 42 52 70 96 196 222 240 250 276 282 292	-57151940506
TPT(12)	128269631013715967	0 2 180 182 222 224 240 242 282 284 354 356	-44466590556
SPT(14)	128269635989112403	0 4 30 48 58 78 88 90 100 120 130 148 174 178	-39491194120
TPT(12)	128269645483816787	0 2 12 14 30 32 144 146 150 152 192 194	-29996489736
SPT(14)	128269653933717427	0 6 40 76 82 84 124 132 172 174 180 216 250 256	-21546589096
SPT(14)	128269689813695347	0 12 16 30 66 106 126 136 156 196 232 246 250 262	14333388824
SPT(14)	128269703675377507	0 52 60 106 112 192 210 232 250 330 336 382 390 442	28195070984
SPT(14)	128269705244295917	0 12 14 30 42 66 102 134 170 194 206 222 224 236	29763989394
SPT(14)	128269708386830557	0 10 22 54 120 130 136 180 186 196 262 294 306 316	32906524034
SPT(14)	128269712167353139	0 18 70 78 102 118 120 130 132 148 172 180 232 250	36687046616