The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+364x^69+648x^70+760x^71+997x^72+874x^73+1166x^74+866x^75+926x^76+624x^77+530x^78+208x^79+41x^80+102x^81+26x^82+10x^83+16x^85+14x^86+12x^87+4x^89+1x^92+1x^96+1x^100

The gray image is a code over GF(2) with n=592, k=13 and d=276.
This code was found by Heurico 1.16 in 38.2 seconds.