The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  2  2  1  1
 0  2  0  6  8  6  8  2  8 14  8 14  8  2  0 10  0 14  8  6  8 10  0  2  0  6  0  2  0  6  0  2  4  6 12  2  4 14  4  2 12 12 12 14  2 12 12 14  2  4  4 14 14  6  4 10  4  0  2 12  2  4  6  0 10  0 10 10  4  8 12  6  6  6  6
 0  0 12  0  0  4 12  4  8  8  4 12  8 12  4  8  0  8 12 12 12  0  8 12  8  4  0  4  4  0  4  8  4  0  4  0  0  4  8 12  8  4 12  8  4  0  0  4  8 12 12  8  0 12  4 12  8 12  8  8  4 12  8  0  4 12  8  8  4  0  4  0  4  4 12
 0  0  0 12  4 12  4  0  0 12  0 12  4  0  4  0  8  4  8  4 12  8 12  8  8  4 12  8 12  4  8  8  0  0  4  4  4  8  0 12 12 12 12  0  4  8 12  0  4  0 12  8  8  0  8  4  4 12 12 12 12  4 12  4  8  8 12  8  0  8  0  0 12  0  4

generates a code of length 75 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+210x^71+54x^72+152x^73+338x^74+618x^75+331x^76+128x^77+28x^78+118x^79+9x^80+8x^81+2x^82+46x^83+4x^84+1x^140

The gray image is a code over GF(2) with n=600, k=11 and d=284.
This code was found by Heurico 1.16 in 17.9 seconds.