Prime p₀= 44420016143156321 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 38 28 6 20 4 26 4 26 4 20 6 28 38 (?)
a_n: 0 38 66 72 92 96 122 126 152 156 176 182 210 248
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: 248
Found by: stoneageman
db: batch=65, k=14, 38 28 6 20 4 26 4

SPT(16)	44419957497512977	0 30 46 52 66 76 90 112 150 172 186 196 210 216 232 262	-58645643344
SPT(14)	44419958626127983	0 10 48 78 90 96 114 160 178 184 196 226 264 274	-57517028338
SPT(14)	44419960884760583	0 24 80 84 104 110 114 146 150 156 176 180 236 260	-55258395738
SPT(14)	44419981112068201	0 28 40 58 66 82 96 112 126 142 150 168 180 208	-35031088120
SPT(14)	44419985712471737	0 12 32 60 90 92 134 222 264 266 296 324 344 356	-30430684584
SPT(14)	44420001961683197	0 12 14 20 44 50 54 80 84 90 114 120 122 134	-14181473124
TPT(12)	44420025867515321	0 2 36 38 48 50 60 62 78 80 90 92	9724359000
SPT(14)	44420030383611581	0 32 66 102 140 152 180 212 240 252 290 326 360 392	14240455260
SPT(14)	44420034802488091	0 10 18 22 36 52 60 88 96 112 126 130 138 148	18659331770
SPT(14)	44420035482119263	0 30 40 64 106 126 136 168 178 198 240 264 274 304	19338962942
SPT(16)	44420043900449551	0 6 48 76 90 112 132 138 250 256 276 298 312 340 382 388	27757293230