The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  8 10  6  1  1  1  1  1 14  1  0  1  1  1  1  2  2  8  1  1  2  1  8  1  1  1  1 14  8
 0  1  1  4  3  1  2  7  1 14  5  1  1  1  2 11 13 12  6  1  7  1  8  4  3 15  1  2  2  6  5  1  8  2 11 14 11  6  1  1
 0  0  2  2  0  2  2 10  0  4  8  2  6 14  4  4 12  6  6  4  4  6 12 12  6 14 12  2  2  0 14 12  4  2  4  2 10  0 10 10
 0  0  0  8  0  0  0  8  8  8  8  8  0  8  0  0  8  0  8  0  8  8  0  0  0  8  0  0  8  8  0  0  0  8  8  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  8  8  8  8  8  0  0  8  8  8  8  0  8  0  8  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0  0  0  0  8  0  8  8  8  0  8  0  8  8  0  8  0  0
 0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  0  8  8  8  8  0  8  0  8  8  8  0  0  8  8  8  0  8  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+66x^33+225x^34+532x^35+1178x^36+2502x^37+3166x^38+6414x^39+4701x^40+6352x^41+3290x^42+2462x^43+962x^44+536x^45+224x^46+58x^47+65x^48+14x^49+5x^50+6x^51+4x^52+2x^53+2x^54+1x^56

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 6.86 seconds.