The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1  1  8  1  1  6  1  2  1  1  0  1  1 12 14  1  1 10  1  4  1  2 12  1  4  1  2  1  1
 0  1 11  6 13  1  0  3  1  6  1  5 11  0  1 13 14  1  2  1 15 12  1  4  8  1  1  9  0  1  5  1  4 14  1 12  1 10  2 13  0
 0  0 12  0  4  0  0  4  8  0  8  4  0 12  4  8 12 12  0  8  8  4  0  8 12  4 12  0  4 12 12  0 12  0 12  4 12  0  8  8  8
 0  0  0 12  0  0 12  4 12  8  4  4  4  4  8  4  0 12 12  4  0  4  0  4  8  4  8  8 12  4  4 12  0  4  0 12  0  0 12  4  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  8  8  0  8  0  8  0  8  0  0  0  0  8  8  8  0  8  0  0  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  8  0  8  8  0  0  0  8  0  0  0  8  0  8  8  0  0  0  8  8  0  0  0  8  0
 0  0  0  0  0  0  8  8  8  0  0  8  8  0  8  8  8  0  0  0  8  0  0  8  8  8  8  8  8  8  0  8  8  8  0  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+38x^33+95x^34+254x^35+412x^36+1220x^37+1755x^38+4858x^39+3914x^40+7742x^41+3902x^42+4884x^43+1740x^44+1202x^45+300x^46+228x^47+125x^48+36x^49+25x^50+14x^51+16x^52+2x^53+1x^54+2x^55+2x^58

The gray image is a code over GF(2) with n=328, k=15 and d=132.
This code was found by Heurico 1.16 in 7.46 seconds.