The generator matrix

 1  0  0  0  1  1  1  2 10  1 12  1  1  2  1  0  1  4  1  1  1 10  4  1  1  2  1 14  1  1  1 12  4  1  1  2  1 14  1 12
 0  1  0  0  0  9  5  1  1  8  1  4  7  2 11  6  8  1 10 10 12  1  2  7 11  1 11  1 13  3 11  4  1  2  0  1  9  6 14  1
 0  0  1  0  1  1  4  5  2 10  3  3 12  1 11  1 15  9  0 15 14  1  0  5  6  8 15  2  9  2  8  1  6  7  4  7  1  1  8  0
 0  0  0  1  1  4  1  1 15  9  6 10 14 15  1  5 15  5 11  4 12  8  1  0  6 15 10  6 13 13 15 10 12  2 14  3 14 12  9 10
 0  0  0  0 12  0  0  0  0  0  0  0  0  0  0  0  8  8  8  4  8  4  4 12 12 12  4 12  4  8 12  4  8 12  4 12  8  8 12 12

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

Homogenous weight enumerator: w(x)=1x^0+216x^33+1509x^34+4090x^35+9505x^36+18922x^37+30107x^38+43806x^39+45333x^40+43864x^41+31079x^42+19274x^43+8973x^44+3524x^45+1359x^46+410x^47+118x^48+32x^49+8x^50+4x^51+6x^52+2x^53+2x^54

The gray image is a code over GF(2) with n=320, k=18 and d=132.
This code was found by Heurico 1.16 in 335 seconds.