The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+120x^69+584x^70+748x^71+734x^72+456x^73+363x^74+372x^75+267x^76+112x^77+143x^78+60x^79+52x^80+48x^81+28x^82+4x^83+1x^84+1x^88+1x^90+1x^94

The gray image is a code over GF(2) with n=584, k=12 and d=276.
This code was found by Heurico 1.16 in 0.328 seconds.