Prime p₀= 259589789180086181 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 14 34 2 24 10 14 10 24 2 34 14 18 (?)
a_n: 0 18 32 66 68 92 102 116 126 150 152 186 200 218
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: 218
Found by: scrap
db: batch=69, k=14, 18 14 34 2 24 10 14

SPT(16)	259589662927062469	0 18 22 58 60 114 130 172 180 222 238 292 294 330 334 352	-126253023712
SPT(14)	259589693374446949	0 28 40 48 72 108 118 132 142 178 202 210 222 250	-95805639232
STPT(10)	259589715750856817	0 2 42 44 72 74 102 104 144 146	-73429229364
SPT(14)	259589749827731153	0 6 24 68 84 98 110 174 186 200 216 260 278 284	-39352355028
SPT(14)	259589771349784339	0 78 90 120 148 162 172 258 268 282 310 340 352 430	-17830301842
SPT(14)	259589789155632917	0 50 62 80 90 102 146 186 230 242 252 270 282 332	-24453264
SPT(16)	259589797872234493	0 48 60 88 94 118 138 144 244 250 270 294 300 328 340 388	8692148312
SPT(14)	259589811161674561	0 52 106 148 166 178 190 198 210 222 240 282 336 388	21981588380
SPT(14)	259589837092628737	0 30 34 60 90 106 126 190 210 226 256 282 286 316	47912542556
SPT(14)	259589843522222189	0 12 44 60 72 120 152 162 194 242 254 270 302 314	54342136008
SPT(14)	259589852675106199	0 24 42 52 82 100 108 184 192 210 240 250 268 292	63495020018