The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  2  2  1  1  4  1  2  1  1  1 12  1  4  1  2  4  1  1  1  1  1  2  0  2  1  2  1  2  8  8  8  1  1  1  1  1  1  1  1  1  2  1
 0  2  0  0  0  2  6 14  8  8 14  6 12  2  8 10  2  6 12  0  2  0 12 14  2  4 12 14  8 10  2  4 10 10  4 14  2  2 14 12 10  0  8  2  8  2  0 12  4 12 10  8  4 14  6  4  2  6 12 14  6  2  4  0  2  4 12  2  2  6 14 10 12 14  8
 0  0  2  0  2  2 10  0 12 14  8  2 12  4  2  2  8 12 10 14 10  4 12  2 14  6  8  6  8  6  4  2 12 12 10  2 12 10 14  8 10 10  4 14 10 12 14 12 12 12  4  0  4 14  8  2  0 12  4  4 10  2  2  2  4  8  8  6  4  2  4  8 10 10  8
 0  0  0  2  2  8 10  2  4  0 14 12  2 12  6 14 14 12 10 12 12 10  0 14  2  8  0  8  2 12 14  4 12 10 10  6  0  0  2  2  4  2  8 14 12  8  2  6  2  6  6  0  8 14 12 10  6  0  6  6  6 10  8  4 10  0 14  0  4 10  2  8  2 14  8
 0  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  8  0  8  8  0  0  0  0  8  8  0  8  0  8  8  0  0  8  8  8  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0  0  8  0  8  8  8  8  0  0  8  8  0  0  8  0  0  0  8  8

generates a code of length 75 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+36x^67+338x^68+364x^69+779x^70+784x^71+1413x^72+1464x^73+2185x^74+2032x^75+2178x^76+1408x^77+1291x^78+628x^79+562x^80+264x^81+275x^82+132x^83+130x^84+52x^85+38x^86+4x^87+15x^88+8x^90+2x^92+1x^112

The gray image is a code over GF(2) with n=600, k=14 and d=268.
This code was found by Heurico 1.16 in 6.01 seconds.