Prime p₀= 574230241496871307 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 42 18 6 36 24 46 24 36 6 18 42 24 (?)
a_n: 0 24 66 84 90 126 150 196 220 256 262 280 322 346
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: 346
Found by: nenym
db: batch=71, k=14, 24 42 18 6 36 24 46

SPT(14)	574230182030586979	0 10 28 88 108 112 154 228 270 274 294 354 372 382	-59466284328
TPT(12)	574230186876255857	0 2 192 194 294 296 342 344 390 392 432 434	-54620615450
TPT(12)	574230195784830437	0 2 54 56 84 86 114 116 144 146 180 182	-45712040870
SPT(14)	574230196612863299	0 62 80 92 104 122 150 164 192 210 222 234 252 314	-44884008008
SPT(14)	574230197939179981	0 6 40 106 132 138 162 166 190 196 222 288 322 328	-43557691326
SPT(14)	574230224397637877	0 26 32 56 60 72 102 194 224 236 240 264 270 296	-17099233430
SPT(14)	574230284038349209	0 24 108 120 138 144 150 222 228 234 252 264 348 372	42541477902
SPT(16)	574230320360529251	0 2 6 38 66 80 96 126 152 182 198 212 240 272 276 278	78863657944
STPT(10)	574230321711644567	0 2 12 14 72 74 132 134 144 146	80214773260
TPT(12)	574230324668674937	0 2 30 32 42 44 84 86 90 92 174 176	83171803630
TPT(14)	574230326610052499	0 2 30 32 48 50 72 74 90 92 132 134 168 170	85113181192