The generator matrix

 1  0  0  1  1  1  2  2  1 12  1  1  1 12 14  8  0  1  1  1  1  1 14  1  6  1  1  4  1  1  1  1  1  1  0 10  2  1  1  1
 0  1  0  0 13 13  1  2  1  1 10 15  8  1  4  1 10  3  4 15  6 10  1 12  1 11  9  1  2 12 14  8 11 14  8  1  1 14  3 10
 0  0  1  3  7  4  7  1  1  5  5  6  2  6  1 11  1  4  6  9  3  8 14  5 10  0 14  5  2  0  1 15 10  7  1  5  3  2  9  3
 0  0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  8  0  0  0  0  8  8  8  0  8  0  8  8  0  8  0  0  0  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+134x^36+992x^37+1157x^38+1410x^39+1176x^40+1356x^41+854x^42+644x^43+210x^44+176x^45+41x^46+26x^47+7x^48+4x^49+4x^50

The gray image is a code over GF(2) with n=320, k=13 and d=144.
This code was found by Heurico 1.16 in 0.391 seconds.