The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^33+200x^34+660x^35+1288x^36+2338x^37+3565x^38+5186x^39+5679x^40+5894x^41+3880x^42+2202x^43+984x^44+464x^45+213x^46+94x^47+42x^48+22x^49+14x^50+2x^51+6x^52+2x^53

The gray image is a code over GF(2) with n=320, k=15 and d=132.
This code was found by Heurico 1.16 in 7.04 seconds.