The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  8  1  1  2  8  1  1  2  1  1  1  8  2  2  1  1  0  1  2  8  2  1  4  1
 0  2  0  6  0  6  8  6 14  8  0 14 10  8 14  2  2 12 10  6  2 14  4  6 10 12  8  2  6  6  2  0  8 12 10  2  2 12  0 10
 0  0 12  0  0  0 12  8  8  0  0  4  4  4  4  4  8 12  8  0  4 12 12  8 12  0 12  4  0  4  0  8  0  0  4  8  8  4 12  0
 0  0  0 12  0  0  0  0 12  4 12  4  8  4  0  4  8 12 12  8 12  4  8  0  8  0  0  4 12  8  0  4  8  8 12 12 12  4  4  4
 0  0  0  0 12  0  4 12 12  4  8 12  0  8 12  0  8 12  0  4 12  0  4  0  0 12  0  0  8  4 12 12  4 12 12  8  4 12  8  8
 0  0  0  0  0 12  0 12  0 12  4  8 12  4  4  8  4  4  0  4  8 12 12  8  8  4 12 12 12  0  8  0 12 12  4  0 12  8  4 12

generates a code of length 40 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+178x^32+68x^33+662x^34+480x^35+1700x^36+2008x^37+3898x^38+4620x^39+5580x^40+4564x^41+3994x^42+2072x^43+1606x^44+464x^45+534x^46+60x^47+201x^48+64x^50+14x^52

The gray image is a code over GF(2) with n=320, k=15 and d=128.
This code was found by Heurico 1.16 in 11.7 seconds.