Prime p₀= 307467058860832853 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 54 26 28 2 4 20 76 20 4 2 28 26 54 (?)
a_n: 0 54 80 108 110 114 134 210 230 234 236 264 290 344
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: 344
Found by: desktop64
db: batch=70, k=14, 54 26 28 2 4 20 76

SPT(14)	307466971228886621	0 8 80 92 98 116 132 176 192 210 216 228 300 308	-87631946232
SPT(14)	307466971804375969	0 84 94 120 138 150 154 258 262 274 292 318 328 412	-87056456884
SPT(14)	307467012827824243	0 4 16 30 78 84 106 108 130 136 184 198 210 214	-46033008610
SPT(14)	307467024222587651	0 6 42 60 102 116 132 140 156 170 212 230 266 272	-34638245202
SPT(14)	307467030864776267	0 42 44 72 90 104 122 192 210 224 242 270 272 314	-27996056586
SPT(14)	307467045760096861	0 16 18 28 48 52 60 118 126 130 150 160 162 178	-13100735992
SPT(14)	307467084628906511	0 18 30 38 78 86 128 150 192 200 240 248 260 278	25768073658
SPT(14)	307467086043683369	0 20 38 42 72 102 188 192 278 308 338 342 360 380	27182850516
SPT(16)	307467103847812537	0 30 76 84 100 136 156 192 244 280 300 336 352 360 406 436	44986979684
TPT(14)	307467105471808067	0 2 42 44 60 62 90 92 102 104 162 164 282 284	46610975214
TPT(12)	307467117343286699	0 2 78 80 120 122 138 140 162 164 210 212	58482453846