Prime p₀= 144467129618614597 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 50 18 10 14 12 34 12 14 10 18 50 22 (?)
a_n: 0 22 72 90 100 114 126 160 172 186 196 214 264 286
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: 286
Found by: emoga
db: batch=67, k=14, 22 50 18 10 14 12 34

SPT(14)	144467098849764877	0 72 90 112 114 120 132 142 154 160 162 184 202 274	-30768849720
TPT(12)	144467110875790331	0 2 30 32 66 68 168 170 180 182 186 188	-18742824266
SPT(16)	144467111844574759	0 10 30 70 94 100 114 130 132 148 162 168 192 232 252 262	-17774039838
SPT(14)	144467112323437609	0 10 52 88 90 102 142 168 208 220 222 258 300 310	-17295176988
SPT(14)	144467123288930669	0 12 90 152 164 182 194 210 222 240 252 314 392 404	-6329683928
SPT(14)	144467123810895209	0 48 74 78 98 140 150 158 168 210 230 234 260 308	-5807719388
SPT(14)	144467165665411157	0 30 56 72 92 116 176 210 270 294 314 330 356 386	36046796560
TPT(12)	144467166346156991	0 2 30 32 36 38 78 80 108 110 198 200	36727542394
SPT(14)	144467174682704899	0 4 12 22 42 82 172 330 420 460 480 490 498 502	45064090302
STPT(10)	144467182487812697	0 2 42 44 102 104 162 164 204 206	52869198100
TPT(12)	144467201890290269	0 2 12 14 18 20 48 50 72 74 90 92	72271675672