The generator matrix

 1  0  0  1  1  1 10  2  1  1  1 14  1  8  1  1  0 14  1 12  1  1  6 10  1  4  1  1  1  2 10  1  8  1  1  1 14  1  1  1
 0  1  0  8  5 13  1  1 14 11 12 12  3  1  6  9  6  1  4  1  2  5  1  2  3  1  7  9 12  1  6  0  1 15  1 15  1  6 10  0
 0  0  1 11  3  8 15  2 15  7  2  1 10 13 13 14  1 12  9 10  4  1  9  1 12 11  1 13  0 14  1  9  1  7 15 13 15 14  9 12

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

Homogenous weight enumerator: w(x)=1x^0+390x^37+766x^38+710x^39+849x^40+438x^41+351x^42+258x^43+196x^44+104x^45+10x^46+16x^47+2x^48+4x^49+1x^50

The gray image is a code over GF(2) with n=320, k=12 and d=148.
This code was found by Heurico 1.16 in 0.117 seconds.