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

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

Homogenous weight enumerator: w(x)=1x^0+128x^71+124x^72+276x^73+284x^74+550x^75+252x^76+196x^77+66x^78+72x^79+31x^80+40x^81+9x^82+18x^83+1x^138

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 0.43 seconds.