The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+113x^70+758x^71+748x^72+1500x^73+812x^74+1348x^75+519x^76+752x^77+439x^78+538x^79+202x^80+256x^81+81x^82+68x^83+25x^84+20x^85+1x^86+8x^87+1x^88+1x^90+1x^94

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 0.988 seconds.