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

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

Homogenous weight enumerator: w(x)=1x^0+100x^74+48x^75+304x^76+216x^77+540x^78+636x^79+896x^80+912x^81+1086x^82+864x^83+849x^84+648x^85+444x^86+204x^87+186x^88+48x^89+100x^90+8x^91+46x^92+26x^94+18x^96+6x^98+2x^102+3x^104+1x^124

The gray image is a code over GF(2) with n=656, k=13 and d=296.
This code was found by Heurico 1.16 in 2.27 seconds.