The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^32+236x^33+374x^34+812x^35+1179x^36+2342x^37+3243x^38+5268x^39+5599x^40+5398x^41+3433x^42+2380x^43+1095x^44+738x^45+283x^46+172x^47+76x^48+54x^49+21x^50+8x^51+2x^52+6x^54

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 10.2 seconds.