Prime p₀= 128269156804633573 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 20 70 44 6 42 28 42 6 44 70 20 16 (?)
a_n: 0 16 36 106 150 156 198 226 268 274 318 388 408 424
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: 424
Found by: amazing
db: batch=67, k=14, 16 20 70 44 6 42 28

SPT(14)	128269060025378627	0 42 80 84 92 102 122 144 164 174 182 186 224 266	-96779254946
SPT(14)	128269063288994003	0 6 48 56 78 90 96 140 146 158 180 188 230 236	-93515639570
SPT(16)	128269086946767301	0 16 36 58 78 150 160 166 192 198 208 280 300 322 342 358	-69857866272
TPT(14)	128269108843575629	0 2 12 14 18 20 72 74 150 152 210 212 270 272	-47961057944
SPT(14)	128269111579634191	0 18 46 126 130 168 192 196 220 258 262 342 370 388	-45224999382
SPT(16)	128269147670545421	0 18 50 86 108 116 168 200 288 320 372 380 402 438 470 488	-9134088152
SPT(14)	128269161907415929	0 30 54 78 112 138 144 208 214 240 274 298 322 352	5102782356
TPT(12)	128269164529572791	0 2 138 140 156 158 168 170 228 230 240 242	7724939218
SPT(14)	128269190251037411	0 2 8 30 38 72 78 92 98 132 140 162 168 170	33446403838
SPT(14)	128269199539596883	0 34 36 40 60 84 106 144 166 190 210 214 216 250	42734963310
SPT(14)	128269209148848739	0 10 28 90 112 160 192 220 252 300 322 384 402 412	52344215166