Prime p₀= 120628957784586707 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 26 16 14 24 4 8 22 8 4 24 14 16 26 (?)
a_n: 0 26 42 56 80 84 92 114 122 126 150 164 180 206
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: 206
Found by: Vit Kliber
db: batch=67, k=14, 26 16 14 24 4 8 22

SPT(14)	120628892295009389	0 14 68 84 92 140 168 224 252 300 308 324 378 392	-65489577318
SPT(14)	120628901149469171	0 6 8 18 26 56 72 116 132 162 170 180 182 188	-56635117536
TPT(12)	120628914666704597	0 2 60 62 150 152 234 236 264 266 282 284	-43117882110
SPT(14)	120628919912479799	0 42 104 164 182 192 204 230 242 252 270 330 392 434	-37872106908
SPT(14)	120628937053564867	0 22 30 70 82 142 156 166 180 240 252 292 300 322	-20731021840
TPT(12)	120628954739713961	0 2 6 8 36 38 48 50 210 212 228 230	-3044872746
SPT(14)	120628972257294871	0 16 42 60 82 100 142 156 198 216 238 256 282 298	14472708164
SPT(14)	120628982018378479	0 10 18 28 60 72 78 94 100 112 144 154 162 172	24233791772
SPT(14)	120628988378478611	0 36 50 66 72 78 98 150 170 176 182 198 212 248	30593891904
SPT(16)	120628991594831471	0 6 26 38 48 56 108 126 152 170 222 230 240 252 272 278	33810244764
SPT(14)	120629002296744959	0 12 68 84 98 140 150 212 222 264 278 294 350 362	44512158252