Prime p₀= 128269199539596883 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 2 4 20 24 22 38 22 24 20 4 2 34 (?)
a_n: 0 34 36 40 60 84 106 144 166 190 210 214 216 250
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: 250
Found by: amazing
db: batch=67, k=14, 34 2 4 20 24 22 38

SPT(14)	128269111579634191	0 18 46 126 130 168 192 196 220 258 262 342 370 388	-87959962692
SPT(16)	128269147670545421	0 18 50 86 108 116 168 200 288 320 372 380 402 438 470 488	-51869051462
SPT(14)	128269156804633573	0 16 36 106 150 156 198 226 268 274 318 388 408 424	-42734963310
SPT(14)	128269161907415929	0 30 54 78 112 138 144 208 214 240 274 298 322 352	-37632180954
TPT(12)	128269164529572791	0 2 138 140 156 158 168 170 228 230 240 242	-35010024092
SPT(14)	128269190251037411	0 2 8 30 38 72 78 92 98 132 140 162 168 170	-9288559472
SPT(14)	128269209148848739	0 10 28 90 112 160 192 220 252 300 322 384 402 412	9609251856
SPT(14)	128269210090125571	0 76 112 120 130 172 186 316 330 372 382 390 426 502	10550528688
TPT(12)	128269213734026921	0 2 48 50 90 92 108 110 210 212 306 308	14194430038
SPT(14)	128269263242362159	0 4 40 60 82 102 108 124 130 150 172 192 228 232	63702765276
SPT(14)	128269270680854179	0 22 70 78 88 100 120 142 162 174 184 192 240 262	71141257296