The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^37+111x^38+254x^39+246x^40+214x^41+68x^42+26x^43+16x^44+26x^45+5x^46+1x^72

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 0.0319 seconds.