Prime p₀= 452727657400207909 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 44 40 86 46 8 22 8 46 86 40 44 4 (?)
a_n: 0 4 48 88 174 220 228 250 258 304 390 430 474 478
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: 478
Found by: scrap
db: batch=70, k=14, 4 44 40 86 46 8 22

SPT(14)	452727575307726791	0 78 86 92 128 132 146 282 296 300 336 342 350 428	-82092481118
SPT(14)	452727590483253809	0 12 20 50 62 78 84 98 104 120 132 162 170 182	-66916954100
SPT(14)	452727611699742943	0 4 18 88 90 114 120 124 130 154 156 226 240 244	-45700464966
SPT(14)	452727616523510521	0 12 36 40 70 72 100 168 196 198 228 232 256 268	-40876697388
SPT(14)	452727627160402771	0 16 72 78 112 132 190 198 256 276 310 316 372 388	-30239805138
SPT(14)	452727628056403753	0 16 30 36 48 54 58 96 100 106 118 124 138 154	-29343804156
SPT(14)	452727678046172393	0 14 36 50 140 168 186 218 236 264 354 368 390 404	20645964484
SPT(14)	452727683380314907	0 10 60 66 82 94 112 144 162 174 190 196 246 256	25980106998
SPT(14)	452727714160003223	0 6 8 36 78 134 156 188 210 266 308 336 338 344	56759795314
TPT(12)	452727736219694939	0 2 12 14 48 50 150 152 168 170 288 290	78819487030
TPT(12)	452727736244782247	0 2 12 14 30 32 60 62 132 134 144 146	78844574338