Prime p₀= 129729098308062031 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 28 6 26 18 30 22 30 18 26 6 28 42 (?)
a_n: 0 42 70 76 102 120 150 172 202 220 246 252 280 322
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: 322
Found by: cpuid
db: batch=67, k=14, 42 28 6 26 18 30 22

SPT(14)	129729030739558799	0 8 30 84 98 134 170 222 258 294 308 362 384 392	-67568503232
SPT(14)	129729041945157857	0 24 42 54 72 140 144 152 156 224 242 254 272 296	-56362904174
SPT(14)	129729090037322921	0 12 26 62 80 116 122 126 132 168 186 222 236 248	-8270739110
STPT(10)	129729090132806009	0 2 18 20 30 32 42 44 60 62	-8175256022
TPT(12)	129729092025195161	0 2 30 32 48 50 78 80 246 248 288 290	-6282866870
TPT(12)	129729094402328297	0 2 30 32 42 44 60 62 90 92 114 116	-3905733734
SPT(14)	129729106650734561	0 32 36 42 60 66 78 80 92 98 116 122 126 158	8342672530
SPT(20)	129729114205950023	0 8 18 36 44 50 84 86 98 134 150 186 198 200 234 240 248 266 276 284	15897887992
SPT(14)	129729127427494603	0 4 10 24 88 108 120 154 166 186 250 264 270 274	29119432572
STPT(10)	129729131086569587	0 2 60 62 72 74 84 86 144 146	32778507556
TPT(12)	129729131907323951	0 2 6 8 30 32 156 158 186 188 198 200	33599261920