The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+328x^36+720x^37+1334x^38+1932x^39+2795x^40+2512x^41+2644x^42+1804x^43+1211x^44+592x^45+294x^46+100x^47+76x^48+16x^49+16x^50+4x^51+5x^52

The gray image is a code over GF(2) with n=328, k=14 and d=144.
This code was found by Heurico 1.16 in 7.35 seconds.