The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  2  1  4  2  1  2  1  1  2  4  4  4  2
 0  2  0  0  0  0  0  0  0  2  6  2  2  6  2  4  6  4  4  6  6  2  2  2  6  0  0  2  2  2  2  4
 0  0  2  0  0  0  2  6  2  0  0  0  2  2  2  4  6  6  2  6  0  2  6  4  2  6  2  4  4  4  2  0
 0  0  0  2  0  2  2  6  0  2  2  4  0  4  2  2  6  2  2  4  6  0  6  4  6  2  2  4  6  2  6  2
 0  0  0  0  2  2  0  6  2  4  6  6  0  6  2  2  4  0  2  6  0  4  2  0  0  6  4  6  0  4  2  0
 0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  4  0  0  0  4  4  4  4  4  4  4
 0  0  0  0  0  0  4  0  4  4  0  4  0  4  0  4  0  4  4  4  4  4  4  4  4  0  4  4  0  0  4  0
 0  0  0  0  0  0  0  4  4  0  4  4  4  0  4  4  0  4  0  4  4  4  0  0  4  4  4  4  0  4  0  0

generates a code of length 32 over Z8 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+72x^23+144x^24+256x^25+379x^26+588x^27+828x^28+1272x^29+1670x^30+1870x^31+2128x^32+1910x^33+1704x^34+1358x^35+878x^36+590x^37+310x^38+194x^39+108x^40+66x^41+29x^42+14x^43+6x^44+2x^45+4x^46+3x^48

The gray image is a code over GF(2) with n=128, k=14 and d=46.
This code was found by Heurico 1.16 in 6.09 seconds.