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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+386x^70+594x^71+951x^72+746x^73+1053x^74+986x^75+1038x^76+712x^77+756x^78+466x^79+309x^80+54x^81+55x^82+12x^83+28x^84+8x^85+4x^86+4x^87+24x^88+2x^91+1x^96+2x^98

The gray image is a code over GF(2) with n=600, k=13 and d=280.
This code was found by Heurico 1.16 in 88.4 seconds.