The generator matrix

 1  0  0  1  1  1 10  2  1  1  1  1 14 12  1  1 12  1  4  1  6  1  1  4 10  1 10  1 10  1  1 14  6  1  1  1 14 12  1  1 12  1  1 12  1  0  1  1  1  1  8 14  1  1  1  1  1  6 10 12  1  1  1  8  6  6  1  2  1  1  4  1  0  4  1
 0  1  0  0  5 13  1  6  1  9  4  4  1  1 14  3  1 10 14 15  1 15 11  1  1 14  0  6  1  5  0  1  8 15  8 11 12 12  6 11  2  7  7  1 14  1  9  9  6  6  1  1  3  1  1  0 10  1  1  2  5  4 14  2  6  1 11  1 11 12  1  7  1  1  0
 0  0  1 11  7  4  7  1  1  2  6 13  6  5  5  1 15  6  1 12  0 10  3 14  1  7  1  8 15 13  8 10  1 14  1  3  1  1 10 12  1 12  1  8  0 11  3  2 15  5 13  8  2 12 10  3 10 13  6  1  0  9  3  1  1 11  6  2  9  7  9 10  5  4  8
 0  0  0 12 12  0 12  4  0 12  4  8  4  0 12 12  4  0  4  4  8  0  8  8 12  0  8  8  0  4  4 12 12  8  4  4  0 12 12 12  8  0  8  8  4  8  0  8  4  0 12 12  4 12  0  8 12  8  8 12  8  8 12  0  8 12  8  0  4  0  4 12  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+148x^69+578x^70+1298x^71+1652x^72+1964x^73+1840x^74+2156x^75+1692x^76+1684x^77+1386x^78+866x^79+468x^80+296x^81+103x^82+136x^83+75x^84+16x^85+2x^86+8x^87+7x^88+4x^89+3x^90+1x^92

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 3.18 seconds.