The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  1  2  1  2  1  1  1  1  1  2  2  2
 0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  8  8  8  8  8  0  8  0  8
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  0  0  8  0  0  8  0  8  0  0  0  0  8  8  0  0  8  8  8
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  8  8  8  0  8  8  0  8  0  8  8  8  0  0  0  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  0  0  8  0  0  8  0  8  0  8  8  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  8  8  0  8  8  8  8  8  8  8  8  8  8  8  8
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  8  0  8  0  8  0  8  0  8  8  8  0  0  0  0  8  0  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  8  8  8  8  0  0  0  8  8  0  8
 0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  8  0  0  8  0  0  0  8  0  8  8  0  8  0  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+97x^32+16x^34+179x^36+112x^38+3320x^40+112x^42+134x^44+16x^46+83x^48+23x^52+2x^56+1x^64

The gray image is a code over GF(2) with n=320, k=12 and d=128.
This code was found by Heurico 1.16 in 0.432 seconds.