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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+68x^37+67x^38+184x^39+453x^40+132x^41+41x^42+36x^43+10x^44+24x^45+3x^46+4x^47+1x^74

The gray image is a code over GF(2) with n=320, k=10 and d=148.
This code was found by Heurico 1.16 in 6.83 seconds.