Prime p₀= 115688482442923349 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 18 42 30 42 6 22 6 42 30 42 18 32 (?)
a_n: 0 32 50 92 122 164 170 192 198 240 270 312 330 362
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: 362
Found by: nenym
db: batch=67, k=14, 32 18 42 30 42 6 22

SPT(14)	115688461579959361	0 10 52 58 60 78 88 90 100 118 120 126 168 178	-20862963988
TPT(12)	115688468886883259	0 2 12 14 42 44 48 50 90 92 132 134	-13556040090
SPT(14)	115688472010429519	0 10 34 60 70 78 154 168 244 252 262 288 312 322	-10432493830
TPT(12)	115688480151708857	0 2 54 56 84 86 252 254 390 392 444 446	-2291214492
SPT(14)	115688480978418277	0 10 12 24 46 54 96 100 142 150 172 184 186 196	-1464505072
SPT(14)	115688482145293039	0 12 42 48 72 108 114 178 184 220 244 250 280 292	-297630310
SPT(14)	115688493185065621	0 28 52 58 60 78 108 112 142 160 162 168 192 220	10742142272
SPT(14)	115688494014023663	0 36 54 90 96 108 110 174 176 188 194 230 248 284	11571100314
SPT(14)	115688515772739673	0 60 106 114 126 144 150 184 190 208 220 228 274 334	33329816324
SPT(14)	115688526620125159	0 52 60 100 114 138 142 150 154 178 192 232 240 292	44177201810
SPT(16)	115688528281289449	0 10 24 48 54 78 90 100 132 142 154 178 184 208 222 232	45838366100