The generator matrix

 1  0  1  1  1  4  1  8  1  1  0  1  1  1 14 10  1  1  6  1 12  1  4  6  4  1  1  2  1  1  1  2  1  4  2  8  1  1  1  1
 0  1  1  0  3  1  1  1  4  3  1 10  8  7  1  1 14 13  1  0  1  9  2  1  1  7  4  0 15  9  2  1  4  0 10  1  1  7  2  4
 0  0  2  0  0  0  8  2  6  2 14  2 12  2  8  4  4  4 14 10 14  0  6  2 12 12  2 14  6  6  6  0  2  0 10  2  2  6 12 10
 0  0  0  2  0  2 10  6 10 10  8  4 14  0 10 12  8 14  2 12  8  0  4  4  2  6  6 10 14 14  4  8  2  2  0 10  8 12 14  2
 0  0  0  0  8  0  8  8  8  0  8  8  0  0  0  0  0  8  8  8  8  8  0  0  8  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  0  8  8  0  0  8  8  8  8  8  8  0  0  8  0  0  0  8  0  0  0  8  0  8  0  8

generates a code of length 40 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+140x^33+571x^34+1164x^35+2572x^36+4334x^37+7775x^38+9822x^39+12554x^40+10242x^41+7778x^42+4378x^43+2398x^44+946x^45+567x^46+178x^47+73x^48+18x^49+10x^50+10x^51+2x^52+2x^54+1x^58

The gray image is a code over GF(2) with n=320, k=16 and d=132.
This code was found by Heurico 1.16 in 25.8 seconds.