The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  2  1  1  1  1  1
 0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  0  0  4  0  4  4  4  4  4  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  4  4  0  4  4  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  4  4  4  0  0  0  0  0  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  0  0  0  0  4  4  4  4  4  0  0  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  4  0  4  0  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  4  4  0  4  4  4  0  4  4  4  0  4  4  0  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  4  4  0  0  0  0  0  4  4  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  4  0  0  4  4  0  0  4  0  4  4  4  4  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  0  4  4  0  0  0  4  0  4  4  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  4  0  0  4  0  4  0  4  0  4  0  4  0  0  4  0  4  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  0  4  4  4  4  0  0  0  0  4  4  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  0  4  0  4  0  4  4  0  4  0  0  0  0  0  0  0  0

generates a code of length 32 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+159x^16+160x^18+152x^20+297x^22+480x^24+685x^26+712x^28+2048x^29+1096x^30+2048x^31+17287x^32+2048x^33+744x^34+2048x^35+936x^36+514x^38+464x^40+426x^42+248x^44+128x^46+41x^48+32x^50+13x^54+1x^58

The gray image is a code over GF(2) with n=128, k=15 and d=32.
This code was found by Heurico 1.16 in 11 seconds.