Prime p₀= 381694976678129599 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 8 30 12 30 30 16 30 30 12 30 8 34 (?)
a_n: 0 34 42 72 84 114 144 160 190 220 232 262 270 304
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: 304
Found by: Cruncher Pete
db: batch=70, k=14, 34 8 30 12 30 30 16

SPT(14)	381694894101505079	0 2 12 32 62 90 110 162 182 210 240 260 270 272	-82576624520
SPT(14)	381694921634053889	0 32 42 50 68 78 180 242 344 354 372 380 390 422	-55044075710
SPT(14)	381694926126543863	0 38 54 74 84 86 108 116 138 140 150 170 186 224	-50551585736
SPT(14)	381694933276552741	0 6 16 18 28 40 42 46 48 60 70 72 82 88	-43401576858
TPT(12)	381694933333020911	0 2 6 8 60 62 90 92 288 290 366 368	-43345108688
SPT(16)	381694956727091081	0 6 12 42 110 176 188 198 200 210 222 288 356 386 392 398	-19951038518
SPT(14)	381695002519628321	0 42 56 66 72 80 86 102 108 116 122 132 146 188	25841498722
SPT(14)	381695005215312911	0 12 26 30 38 72 92 126 146 180 188 192 206 218	28537183312
SPT(14)	381695029821832591	0 42 76 102 138 156 160 168 172 190 226 252 286 328	53143702992
SPT(14)	381695059256061913	0 4 46 60 64 70 90 160 180 186 190 204 246 250	82577932314
SPT(14)	381695060948188297	0 60 102 144 150 156 192 274 310 316 322 364 406 466	84270058698