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  1  1  1  1  1  4  1  1  2
 0 12  0  0  8 12 12  4  0  0  8 12  8  4 12 12  0  4  0 12  8 12  0  4  0  4 12  8  4  8  0  8  0  4  4  8  0  8  4  8
 0  0 12  0 12 12  4  8  0  4  4 12  8 12  0  0  8 12  4  8  0  8  4  4  0  4  4  4  0  8  4  0 12  8  8  8  8  4  0  0
 0  0  0 12  4  8  4  4  8  4  0  0  4 12 12  8  8  8  8  8  4  4 12 12  4  8 12  4  4  8  0  0  8  0 12  0  8  8  0  4

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

Homogenous weight enumerator: w(x)=1x^0+39x^36+112x^38+64x^39+623x^40+64x^41+72x^42+24x^44+24x^46+1x^76

The gray image is a code over GF(2) with n=320, k=10 and d=144.
This code was found by Heurico 1.16 in 0.0408 seconds.