The generator matrix

 1  0  0  1  1  1  2  0  1  1  2  1  1  4  1  1  0  1  1  6  1  1  4  1  1  1  4  4  1  0  2  1
 0  1  0  1  2  3  1  1  0  2  1  5  7  0  4  7  2  5  6  1  4  3  1  7  6  3  2  0  0  1  4  0
 0  0  1  1  1  0  3  2  2  3  1  3  2  1  1  3  1  0  1  2  0  0  0  4  3  1  4  4  6  6  2  0
 0  0  0  2  0  6  2  2  2  2  0  0  0  2  4  2  6  0  2  2  2  4  2  2  0  6  6  2  4  2  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  4  0  4  0  0  0  0  4  4  4  0
 0  0  0  0  0  4  0  0  0  4  0  4  0  4  4  4  0  4  4  0  0  0  0  0  4  0  4  4  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  4  4  4  4  0  4  4  0  0  4  0  0  4  4  4  0  4  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  4  4  4  0  0  0  0  4  0  4  4  4  0  4  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  0  0  4  4  4  4  0  0  4  4  4  0  4  4  4  0  4  0  0  4  4  0  4  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+56x^22+110x^23+352x^24+652x^25+1154x^26+2196x^27+3283x^28+5402x^29+7015x^30+7812x^31+9073x^32+8440x^33+6936x^34+5152x^35+3378x^36+2324x^37+1154x^38+574x^39+276x^40+76x^41+62x^42+28x^43+19x^44+2x^45+7x^46+2x^48

The gray image is a code over GF(2) with n=128, k=16 and d=44.
This code was found by Heurico 1.16 in 42.7 seconds.