The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+147x^36+148x^37+216x^38+372x^39+325x^40+364x^41+218x^42+124x^43+73x^44+16x^45+24x^46+13x^48+6x^50+1x^64

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 0.0877 seconds.