The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+83x^70+424x^71+368x^72+518x^73+385x^74+578x^75+440x^76+568x^77+274x^78+274x^79+83x^80+62x^81+18x^82+1x^84+3x^86+2x^87+2x^88+3x^90+2x^91+1x^92+4x^93+1x^94+1x^102

The gray image is a code over GF(2) with n=600, k=12 and d=280.
This code was found by Heurico 1.16 in 0.657 seconds.