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

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

Homogenous weight enumerator: w(x)=1x^0+178x^70+36x^71+318x^72+328x^73+219x^74+924x^75+230x^76+912x^77+170x^78+316x^79+186x^80+40x^81+143x^82+4x^83+54x^84+17x^86+10x^88+6x^90+3x^94+1x^128

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 1.49 seconds.