Prime p₀= 259589749827731153 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 18 44 16 14 12 64 12 14 16 44 18 6 (?)
a_n: 0 6 24 68 84 98 110 174 186 200 216 260 278 284
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: 284
Found by: scrap
db: batch=69, k=14, 6 18 44 16 14 12 64

SPT(14)	259589642071267979	0 8 48 60 78 102 120 170 188 212 230 242 282 290	-107756463174
SPT(14)	259589647800738247	0 4 42 46 72 76 132 154 210 214 240 244 282 286	-102026992906
SPT(14)	259589649573026167	0 72 90 126 180 184 202 204 222 226 280 316 334 406	-100254704986
SPT(16)	259589662927062469	0 18 22 58 60 114 130 172 180 222 238 292 294 330 334 352	-86900668684
SPT(14)	259589693374446949	0 28 40 48 72 108 118 132 142 178 202 210 222 250	-56453284204
STPT(10)	259589715750856817	0 2 42 44 72 74 102 104 144 146	-34076874336
SPT(14)	259589771349784339	0 78 90 120 148 162 172 258 268 282 310 340 352 430	21522053186
SPT(14)	259589789155632917	0 50 62 80 90 102 146 186 230 242 252 270 282 332	39327901764
SPT(14)	259589789180086181	0 18 32 66 68 92 102 116 126 150 152 186 200 218	39352355028
SPT(16)	259589797872234493	0 48 60 88 94 118 138 144 244 250 270 294 300 328 340 388	48044503340
SPT(14)	259589811161674561	0 52 106 148 166 178 190 198 210 222 240 282 336 388	61333943408