The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^33+336x^34+902x^35+2611x^36+4396x^37+7802x^38+10438x^39+12225x^40+10670x^41+8127x^42+4306x^43+2233x^44+840x^45+391x^46+92x^47+50x^48+18x^49+13x^50+4x^51+3x^54+2x^55

The gray image is a code over GF(2) with n=320, k=16 and d=132.
This code was found by Heurico 1.16 in 21.1 seconds.