The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+412x^69+359x^70+756x^71+364x^72+564x^73+390x^74+524x^75+212x^76+320x^77+65x^78+64x^79+14x^80+24x^81+16x^83+8x^85+1x^90+1x^96+1x^98

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 31.9 seconds.