The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^33+121x^34+194x^35+410x^36+702x^37+1183x^38+1848x^39+2427x^40+2600x^41+2365x^42+1852x^43+1159x^44+688x^45+396x^46+184x^47+81x^48+46x^49+25x^50+18x^51+14x^52+2x^53+5x^54+3x^56+1x^58+1x^60

The gray image is a code over GF(2) with n=328, k=14 and d=132.
This code was found by Heurico 1.16 in 33.7 seconds.