Prime p₀= 18956931327442139 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 10 12 38 12 6 16 6 12 38 12 10 20 (?)
a_n: 0 20 30 42 80 92 98 114 120 132 170 182 192 212
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: 212
Found by: gaballus
db: batch=62, k=14, 20 10 12 38 12 6 16

SPT(14)	18956866425831427	0 16 34 70 100 106 132 184 210 216 246 282 300 316	-64901610712
SPT(14)	18956875691332309	0 12 30 42 52 70 108 142 180 198 208 220 238 250	-55636109830
SPT(14)	18956890805047171	0 16 28 72 126 160 162 166 168 202 256 300 312 328	-40522394968
SPT(14)	18956900781079517	0 14 32 36 60 62 110 126 174 176 200 204 222 236	-30546362622
TPT(12)	18956903720205287	0 2 90 92 132 134 144 146 180 182 222 224	-27607236852
SPT(14)	18956916590195807	0 26 54 60 66 146 150 230 234 314 320 326 354 380	-14737246332
TPT(12)	18956932170115271	0 2 36 38 78 80 90 92 120 122 138 140	842673132
SPT(16)	18956940452533823	0 6 48 50 78 90 108 116 150 158 176 188 216 218 260 266	9125091684
SPT(14)	18956940756652993	0 24 34 40 48 54 58 66 70 76 84 90 100 124	9429210854
SPT(14)	18956952395612479	0 22 52 72 78 94 108 124 138 154 160 180 210 232	21068170340
SPT(14)	18956963004556333	0 4 16 18 28 96 148 186 238 306 316 318 330 334	31677114194