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  2  1  1  1  1  1  1  1  1  2  1  1  1  1  1  2  1  1  1  1  2  1  1  1  1  2  1  1  1  2  1  1  1  1  2  1  1  1  2  1  2  1  8  2  1  2  1  1  4  2  1  4  2  4  1
 0 12  0  0  0  0  0  0  0  4 12 12  4 12  4 12  8 12  8 12  0  8 12  8  4 12  8 12  4  4 12  0  8  8  0 12  8 12  4 12  0 12  0  0 12  4  4 12 12  8 12  8 12  0  4 12  4  4 12  0  4  4  0  4  8  0 12  4  0  8  4  4  4 12 12 12  4  0  8  4 12  0
 0  0 12  0  0  8 12 12  4  4  4  8  4 12  0  8  0  8  0  4  4  4  4  4 12  0 12  8 12  0  8  8 12  8  0  0  8  0 12  4  8 12 12  8 12  0  0  4  0 12 12  4  0  8 12  4  8  0  8  4  0  8  4  0  4 12 12  0  0  4  8  8  4  4  4  8 12  0  8  4  4  4
 0  0  0 12  0 12 12  4  8  0  0  0  4 12  4  4  8 12  4  4  8  8  4  4  0  8  4  0  0  8  4  4 12  8  0  0  4 12  4  8 12  0 12  0  8  0  8 12 12 12  4  0  4  8  8  0  8 12  4  0  4  0  4  0 12  8  0 12  8  8 12  0  8  4  4  0  8  8  8  4 12  4
 0  0  0  0 12  4  8  4  4  0  4  4  4  0  8 12 12  8  8  4  8 12  0 12  4 12  0  8  0  0  4  4  8  0  8  4 12 12  4  8 12 12  4 12  0  0  4  8  8  0 12  0 12  0 12  0  4 12  0 12  0  8  4  8 12  4  4 12  0  4  0  4  8  8 12  0  8 12  4 12  8  0

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+24x^74+68x^75+112x^76+122x^77+137x^78+228x^79+398x^80+662x^81+768x^82+610x^83+398x^84+204x^85+83x^86+54x^87+48x^88+38x^89+29x^90+20x^91+22x^92+30x^93+12x^94+10x^95+13x^96+2x^99+2x^106+1x^130

The gray image is a code over GF(2) with n=656, k=12 and d=296.
This code was found by Heurico 1.16 in 0.933 seconds.