Prime p₀= 129500274225973559 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 30 6 78 26 18 28 18 26 78 6 30 24 (?)
a_n: 0 24 54 60 138 164 182 210 228 254 332 338 368 392
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: 392
Found by: arkiss
db: batch=67, k=14, 24 30 6 78 26 18 28

SPT(16)	129500251452920063	0 8 60 66 74 144 200 210 224 234 290 360 368 374 426 434	-22773053496
SPT(14)	129500251630240109	0 48 72 80 98 110 132 170 192 204 222 230 254 302	-22595733450
TPT(12)	129500256063834497	0 2 84 86 114 116 162 164 174 176 204 206	-18162139062
SPT(16)	129500262576960659	0 2 90 98 102 138 158 168 212 222 242 278 282 290 378 380	-11649012900
SPT(14)	129500269052445491	0 6 26 30 36 48 68 78 98 110 116 120 140 146	-5173528068
SPT(14)	129500269897241149	0 30 34 118 162 190 232 300 342 370 414 498 502 532	-4328732410
SPT(14)	129500279169021503	0 54 56 80 116 134 156 164 186 204 240 264 266 320	4943047944
SPT(14)	129500288002406819	0 50 78 80 98 110 128 192 210 222 240 242 270 320	13776433260
SPT(14)	129500299046834929	0 30 70 82 108 118 124 168 174 184 210 222 262 292	24820861370
SPT(14)	129500300326144463	0 8 14 18 24 50 74 84 108 134 140 144 150 158	26100170904
SPT(14)	129500304464656123	0 18 36 76 126 144 160 174 190 208 258 298 316 334	30238682564