Prime p₀= 70783059596161267 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 4 50 10 54 36 26 36 54 10 50 4 6 (?)
a_n: 0 6 10 60 70 124 160 186 222 276 286 336 340 346
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: 346
Found by: emoga
db: batch=67, k=14, 6 4 50 10 54 36 26

SPT(14)	70782991179836921	0 18 20 38 108 140 150 188 198 230 300 318 320 338	-68416324346
SPT(14)	70782997165362247	0 10 12 22 24 34 42 64 72 82 84 94 96 106	-62430799020
TPT(12)	70783014775077167	0 2 12 14 54 56 90 92 120 122 132 134	-44821084100
SPT(14)	70783016870026121	0 6 26 50 68 90 92 126 128 150 168 192 212 218	-42726135146
SPT(14)	70783016876932721	0 8 20 48 78 86 92 96 102 110 140 168 180 188	-42719228546
SPT(14)	70783037897891401	0 42 76 90 112 132 136 192 196 216 238 252 286 328	-21698269866
SPT(14)	70783072099244143	0 4 16 48 130 136 148 156 168 174 256 288 300 304	12503082876
SPT(14)	70783074527315699	0 24 38 104 108 132 134 168 170 194 198 264 278 302	14931154432
TPT(12)	70783077908519087	0 2 24 26 60 62 102 104 150 152 192 194	18312357820
SPT(14)	70783079034302567	0 14 20 44 60 80 104 210 234 254 270 294 300 314	19438141300
SPT(14)	70783087302767963	0 6 26 90 110 114 156 158 200 204 224 288 308 314	27706606696