Prime p₀= 31105567390437959 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 4 44 36 4 20 22 20 4 36 44 4 20 (?)
a_n: 0 20 24 68 104 108 128 150 170 174 210 254 258 278
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: 278
Found by: ChelseaOilman
db: batch=65, k=14, 20 4 44 36 4 20 22

SPT(14)	31105483913851843	0 70 166 168 234 238 250 264 276 280 346 348 444 514	-83476586116
SPT(14)	31105537201087981	0 10 22 42 46 66 102 136 172 192 196 216 228 238	-30189349978
SPT(14)	31105547529257657	0 26 30 60 66 102 114 152 164 200 206 236 240 266	-19861180302
SPT(14)	31105552830624059	0 14 54 72 102 104 152 162 210 212 242 260 300 314	-14559813900
SPT(14)	31105562377247341	0 18 36 60 78 102 112 156 166 190 208 232 250 268	-5013190618
SPT(14)	31105563093827461	0 46 52 70 106 126 136 162 172 192 228 246 252 298	-4296610498
SPT(14)	31105570058927239	0 10 30 58 72 82 130 150 198 208 222 250 270 280	2668489280
SPT(14)	31105570438806673	0 18 28 54 64 76 94 120 138 150 160 186 196 214	3048368714
SPT(14)	31105572093180967	0 4 12 54 82 96 106 120 130 144 172 214 222 226	4702743008
SPT(14)	31105582646423149	0 30 144 148 172 190 204 238 252 270 294 298 412 442	15255985190
SPT(14)	31105583057372959	0 22 28 58 78 90 100 132 142 154 174 204 210 232	15666935000