The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+248x^36+160x^37+776x^38+352x^39+1089x^40+352x^41+704x^42+160x^43+215x^44+24x^46+5x^48+8x^52+1x^56+1x^60

The gray image is a code over GF(2) with n=320, k=12 and d=144.
This code was found by Heurico 1.16 in 0.163 seconds.