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

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

Homogenous weight enumerator: w(x)=1x^0+19x^36+104x^37+28x^38+336x^39+35x^40+400x^41+27x^42+16x^43+9x^44+40x^45+8x^46+1x^74

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 0.0456 seconds.