Prime p₀= 316749284853189767 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 20 12 30 16 32 22 32 16 30 12 20 42 (?)
a_n: 0 42 62 74 104 120 152 174 206 222 252 264 284 326
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: 326
Found by: marsinph
db: batch=70, k=14, 42 20 12 30 16 32 22

SPT(14)	316749166952175767	0 56 62 66 84 90 96 110 116 122 140 144 150 206	-117901014000
TPT(12)	316749180591432569	0 2 78 80 120 122 168 170 192 194 360 362	-104261757198
SPT(14)	316749199693436261	0 30 36 38 42 48 146 192 290 296 300 302 308 338	-85159753506
SPT(14)	316749246444075209	0 44 84 90 92 114 120 224 230 252 254 260 300 344	-38409114558
TPT(12)	316749248740449359	0 2 72 74 102 104 162 164 378 380 420 422	-36112740408
SPT(14)	316749274408617367	0 6 52 100 102 114 136 150 172 184 186 234 280 286	-10444572400
SPT(14)	316749286626293791	0 6 12 22 28 40 48 70 78 90 96 106 112 118	1773104024
SPT(14)	316749302235346781	0 8 56 66 72 78 110 138 170 176 182 192 240 248	17382157014
SPT(14)	316749317612035897	0 12 40 54 72 84 94 102 112 124 142 156 184 196	32758846130
SPT(14)	316749382832874883	0 6 16 24 28 48 78 106 136 156 160 168 178 184	97979685116
SPT(14)	316749393130803013	0 34 36 54 78 96 120 124 148 166 190 208 210 244	108277613246