The generator matrix

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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+252x^40+2x^48+1x^64

The gray image is a code over GF(2) with n=320, k=8 and d=160.
This code was found by Heurico 1.16 in 3.78 seconds.