The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  1  2  1  1  1  1  1  0  1  2 12  2  1  1  2  4  4  1  0  1  1  1
 0  2  0  6  4 14 12  2  0  6 12 10  8 14 14  2  0  8  2  6  4 10  4 10  8  2  4  2  2 10  6 14 14  4  0  0  2 10  2 10
 0  0 12  0  4  4  0  4  0  8  0  8 12 12  4 12  8 12 12  8  4  0  8  8  4  0 12 12  8  0  8  8 12  4 12 12  0 12  4  8
 0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  0  0  8  8  0  8  8  0  8  8  0  8  0  0  8  0  8  0  0  0  8
 0  0  0  0  8  0  0  8  8  8  8  0  8  0  0  0  0  8  8  8  0  8  0  0  8  0  8  0  8  8  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  8  0  8  0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  8  8  8  0  8  8  8  8  0  0  8  8  0  8  0  8
 0  0  0  0  0  0  8  0  0  0  8  8  0  8  8  0  0  8  8  8  0  8  8  8  0  0  0  0  8  0  0  8  8  8  0  8  8  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+40x^33+99x^34+198x^35+323x^36+612x^37+832x^38+1470x^39+1100x^40+1460x^41+837x^42+594x^43+280x^44+172x^45+78x^46+42x^47+19x^48+20x^49+7x^50+5x^52+2x^54+1x^58

The gray image is a code over GF(2) with n=320, k=13 and d=132.
This code was found by Heurico 1.16 in 0.856 seconds.