The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  1 10 12  1  0  1  1  1  1  1 12  1  1  1 12  6 10  0  6  2  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15 10  1  1  9  1 10  0  6  0  0  1 12  6  6  1  1  1  2  1  4  6
 0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  0  8  8  0  0  0  8  0  0  8  8  8  8  0  0  0  0  0  0  8  8  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  0  8  0  0  8  0  8  8  8  8  0  8  8  8  0  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  0  0  0  8  8  8  0  0  0  0  8  0  8  8  0  8  0  0  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+74x^36+160x^37+229x^38+616x^39+453x^40+1024x^41+498x^42+608x^43+224x^44+128x^45+35x^46+24x^47+13x^48+2x^50+2x^52+3x^54+1x^56+1x^62

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 0.145 seconds.