The generator matrix

 1  0  1  1  1  4  1  1  4  1  1  0  1  1 10  1  1 14  1 10  1 10  1  1  2  1  1  1  4  1  1  1  1  1  4  1  1  0 14  1  1  1  4  1 12  1  6  1  4  1  1  1  1  1  1  1 14  8  1 12  1  1  4  1  2 12  4  2  6  1  1  2  2  2  1
 0  1  1  0  3  1 13  8  1  0  7  1  3  6  1 10  1  1  3  1  2  1 10  1  1 14 11 12  1  7  9 12  5  0  1  0 11  1  1  3 14  3  1 10  1  9  1  6  1  8 13  8  8  1  5  1  1  1  1  1  4  4  2  1  1  2  1 12  1  0 11 10  1  1  7
 0  0  2  0  0  8  0  2 10 10 10 10  0  8  4  2 10  4 10  2 12 14 14  8  8 12  8 14  6  6 12  8  6 12  2  6  4  4  8  2 14 12  6 14  8 10  2 12  8  4  8  2 12  6  2 12 14 12  8 14  4  4 12 12  2  2  4 10  8  6  4  6  4  6  0
 0  0  0  2  8 10 10  6 14  0 14  0 14  6  4  4  6  6  8  8 12 10  6 12  0 14 10  8  6  6  8  4  8 14  4  2  0  6  2 10 10  6  4 12 14  2 14  0 12 14  4  2  4 14 12  6 14 10  2  0  2  6 14  2  6 10  0 10  0 12  6  6  8  0  4

generates a code of length 75 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+286x^69+670x^70+1290x^71+1292x^72+1950x^73+1891x^74+2328x^75+1700x^76+1620x^77+1235x^78+990x^79+445x^80+288x^81+122x^82+132x^83+41x^84+62x^85+16x^86+12x^87+8x^88+2x^89+1x^92+1x^94+1x^98

The gray image is a code over GF(2) with n=600, k=14 and d=276.
This code was found by Heurico 1.16 in 4.63 seconds.