Prime p₀= 219588707053943569 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 54 54 12 8 36 16 36 8 12 54 54 4 (?)
a_n: 0 4 58 112 124 132 168 184 220 228 240 294 348 352
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: 352
Found by: scrap
db: batch=69, k=14, 4 54 54 12 8 36 16

STPT(10)	219588614696075291	0 2 6 8 18 20 30 32 36 38	-92357868278
SPT(14)	219588625635553511	0 8 12 36 50 78 102 116 140 168 182 206 210 218	-81418390058
SPT(14)	219588642045895921	0 10 12 42 78 88 96 112 120 130 166 196 198 208	-65008047648
TPT(12)	219588645527335067	0 2 144 146 222 224 252 254 324 326 354 356	-61526608502
SPT(14)	219588686549121367	0 30 52 90 100 114 132 214 232 246 256 294 316 346	-20504822202
SPT(14)	219588706955975779	0 28 34 60 90 108 112 210 214 232 262 288 294 322	-97967790
SPT(14)	219588749008076351	0 50 60 72 78 102 128 252 278 302 308 320 330 380	41954132782
SPT(14)	219588751482723391	0 18 90 96 156 226 238 270 282 352 412 418 490 508	44428779822
SPT(14)	219588752682330439	0 28 52 58 78 100 114 148 162 184 204 210 234 262	45628386870
SPT(14)	219588767836604753	0 20 38 60 104 114 126 188 200 210 254 276 294 314	60782661184
SPT(14)	219588779352843737	0 20 26 72 104 110 132 134 156 162 194 240 246 266	72298900168