The generator matrix

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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+122x^36+68x^37+252x^38+336x^39+587x^40+312x^41+200x^42+16x^43+61x^44+36x^45+44x^46+12x^48+1x^68

The gray image is a code over GF(2) with n=320, k=11 and d=144.
This code was found by Heurico 1.16 in 0.0963 seconds.