Prime p₀= 125512953844190123 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 8 6 6 16 30 2 30 16 6 6 8 30 (?)
a_n: 0 30 38 44 50 66 96 98 128 144 150 156 164 194
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: 194
Found by: Vitalii Koshura
db: batch=67, k=14, 30 8 6 6 16 30 2

SPT(14)	125512901003463427	0 24 34 54 60 70 90 136 156 166 172 192 202 226	-52840726696
SPT(14)	125512907627733023	0 24 38 56 68 80 90 104 114 126 138 156 170 194	-46216457100
SPT(14)	125512908432775441	0 12 96 112 120 132 142 186 196 208 216 232 316 328	-45411414682
SPT(14)	125512919286596099	0 24 42 60 84 102 114 168 180 198 222 240 258 282	-34557594024
SPT(14)	125512937289244937	0 20 54 84 90 92 110 126 144 146 152 182 216 236	-16554945186
SPT(16)	125512946852920717	0 10 24 34 54 100 114 172 264 322 336 382 402 412 426 436	-6991269406
TPT(12)	125512954745203379	0 2 90 92 168 170 198 200 222 224 300 302	901013256
SPT(14)	125512966385818469	0 38 44 54 98 128 138 164 174 204 248 258 264 302	12541628346
SPT(14)	125512971703681267	0 16 40 54 60 72 84 142 154 166 172 186 210 226	17859491144
SPT(14)	125512981006936801	0 12 22 36 40 78 82 126 130 168 172 186 196 208	27162746678
SPT(16)	125512985429265901	0 42 78 120 162 178 220 250 288 318 360 376 418 460 496 538	31585075778