The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+207x^36+32x^37+464x^38+320x^39+904x^40+320x^41+860x^42+320x^43+454x^44+32x^45+124x^46+21x^48+20x^50+11x^52+4x^54+2x^56

The gray image is a code over GF(2) with n=328, k=12 and d=144.
This code was found by Heurico 1.16 in 0.312 seconds.