Prime p₀= 259589861795287609 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 36 24 36 10 20 64 20 10 36 24 36 24 (?)
a_n: 0 24 60 84 120 130 150 214 234 244 280 304 340 364
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: 364
Found by: scrap
db: batch=69, k=14, 24 36 24 36 10 20 64

SPT(14)	259589789180086181	0 18 32 66 68 92 102 116 126 150 152 186 200 218	-72615201428
SPT(16)	259589797872234493	0 48 60 88 94 118 138 144 244 250 270 294 300 328 340 388	-63923053116
SPT(14)	259589811161674561	0 52 106 148 166 178 190 198 210 222 240 282 336 388	-50633613048
SPT(14)	259589837092628737	0 30 34 60 90 106 126 190 210 226 256 282 286 316	-24702658872
SPT(14)	259589843522222189	0 12 44 60 72 120 152 162 194 242 254 270 302 314	-18273065420
SPT(14)	259589852675106199	0 24 42 52 82 100 108 184 192 210 240 250 268 292	-9120181410
SPT(14)	259589879048896079	0 38 50 150 164 180 222 230 272 288 302 402 414 452	17253608470
SPT(14)	259589879483680687	0 22 40 64 82 90 174 190 274 282 300 324 342 364	17688393078
SPT(14)	259589892381878413	0 18 28 40 78 84 88 120 124 130 168 180 190 208	30586590804
SPT(14)	259589898646369873	0 24 40 54 60 108 126 208 226 274 280 294 310 334	36851082264
SPT(14)	259589926727002591	0 12 16 30 40 42 58 150 166 168 178 192 196 208	64931714982