The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+88x^33+390x^34+994x^35+1491x^36+2444x^37+4341x^38+7356x^39+9250x^40+12488x^41+9697x^42+7532x^43+4301x^44+2376x^45+1293x^46+846x^47+403x^48+152x^49+54x^50+22x^51+10x^52+4x^53+2x^55+1x^58

The gray image is a code over GF(2) with n=328, k=16 and d=132.
This code was found by Heurico 1.16 in 37.1 seconds.