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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+195x^70+401x^72+96x^73+568x^74+416x^75+831x^76+416x^77+534x^78+96x^79+317x^80+154x^82+40x^84+13x^86+9x^88+6x^90+2x^94+1x^124

The gray image is a code over GF(2) with n=608, k=12 and d=280.
This code was found by Heurico 1.16 in 1.98 seconds.