The generator matrix

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

generates a code of length 32 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+37x^22+98x^23+149x^24+244x^25+396x^26+552x^27+878x^28+1082x^29+1598x^30+2052x^31+2042x^32+2168x^33+1669x^34+1168x^35+884x^36+532x^37+345x^38+202x^39+127x^40+68x^41+46x^42+24x^43+14x^44+2x^45+4x^46+1x^48+1x^50

The gray image is a code over GF(2) with n=128, k=14 and d=44.
This code was found by Heurico 1.16 in 5.17 seconds.