The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+130x^37+121x^38+330x^39+141x^40+644x^41+154x^42+318x^43+62x^44+86x^45+25x^46+18x^47+3x^48+4x^49+4x^50+6x^51+1x^64

The gray image is a code over GF(2) with n=328, k=11 and d=148.
This code was found by Heurico 1.16 in 2.49 seconds.