The generator matrix

 1  0  1  1  1  4  1  2  1  1  6  1  1  1 12  1  4  1 10  1  1  1  8  1 10  0  1  0  1  1  1  1  1  1  6  1  2 14  2  1
 0  1  1  0  3  1 15  1 14  5  1 10  8  2  1  7  1  3  1 14  0  5  1  9  1  1 14  1 13 11 14 12 10 13  1 11  0  1  8  8
 0  0  2  6  0  2  6  2  4  0  8  2 12  6  0 10  6 12  2  0 14  2  8  4  8  4  2  2  6 10  4 12  0  8 10 14 10  6 10  0
 0  0  0 12  0  0  8  8  0  8  8  4  8 12  8  0 12 12 12  4  0  4  4  4  8 12  8  4  4  8  0 12  4 12  4 12  0  8  8  4
 0  0  0  0  8  0  8  8  8  0  8  8  0  0  8  0  8  8  0  8  8  0  0  8  0  0  0  0  8  8  8  0  0  0  8  0  0  0  8  0
 0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0  0  8  8  8  8  0  8  8  0  0  0  8  0  0  8  0  8  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+44x^33+235x^34+516x^35+1052x^36+2412x^37+3735x^38+5578x^39+5853x^40+5462x^41+3727x^42+2266x^43+1041x^44+482x^45+169x^46+110x^47+50x^48+14x^49+6x^50+10x^51+3x^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 6.91 seconds.