Prime p₀= 219588779352843737 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 6 46 32 6 22 2 22 6 32 46 6 20 (?)
a_n: 0 20 26 72 104 110 132 134 156 162 194 240 246 266
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: 266
Found by: scrap
db: batch=69, k=14, 20 6 46 32 6 22 2

SPT(14)	219588706955975779	0 28 34 60 90 108 112 210 214 232 262 288 294 322	-72396867958
SPT(14)	219588707053943569	0 4 58 112 124 132 168 184 220 228 240 294 348 352	-72298900168
SPT(14)	219588749008076351	0 50 60 72 78 102 128 252 278 302 308 320 330 380	-30344767386
SPT(14)	219588751482723391	0 18 90 96 156 226 238 270 282 352 412 418 490 508	-27870120346
SPT(14)	219588752682330439	0 28 52 58 78 100 114 148 162 184 204 210 234 262	-26670513298
SPT(14)	219588767836604753	0 20 38 60 104 114 126 188 200 210 254 276 294 314	-11516238984
SPT(14)	219588782321010659	0 12 32 42 44 78 128 144 194 228 230 240 260 272	2968166922
SPT(16)	219588785433403657	0 10 34 36 52 66 76 84 112 120 130 144 160 162 186 196	6080559920
SPT(14)	219588808697031559	0 10 42 100 114 120 142 240 262 268 282 340 372 382	29344187822
SPT(14)	219588813840651559	0 12 54 84 94 108 142 150 184 198 208 238 280 292	34487807822
SPT(14)	219588819308838061	0 18 40 46 76 88 108 190 210 222 252 258 280 298	39955994324