The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  2  1  0  2  1  1  1  1  1  2  0  1  1  8  1  1  4  1  1  2
 0  2  0  2  0  0  6  6  4  4 10  6 14  4  8  2  0  6  2 12  0 14  8  2 12  2  4  6 10  0  2  4  2  2  2  4  2  0  8  6
 0  0  2  2 12  6  6  0 12  2 14 12  2 12 10  4 14  0 12 12  6  2  2  2  6  2  8  6  0 10  6 14  6 12 10  4  2  6 10  8
 0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  8  8  8  8  8  0  8  8  0  8  8
 0  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  8  8  0  0  8  8  0  0  8  8  8  8  0  0  8  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  8  8  0  0  8  8  0  0  8  8  8  0  8  8  0  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+62x^33+220x^34+378x^35+592x^36+1140x^37+1450x^38+3004x^39+2664x^40+3086x^41+1478x^42+1152x^43+539x^44+306x^45+166x^46+68x^47+39x^48+12x^49+14x^50+6x^51+4x^52+2x^53+1x^60

The gray image is a code over GF(2) with n=320, k=14 and d=132.
This code was found by Heurico 1.16 in 6.05 seconds.