The generator matrix

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

generates a code of length 32 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+44x^24+94x^25+289x^26+518x^27+837x^28+1222x^29+1756x^30+2230x^31+2319x^32+2306x^33+1818x^34+1250x^35+830x^36+466x^37+216x^38+98x^39+60x^40+8x^41+13x^42+5x^44+4x^46

The gray image is a code over GF(2) with n=128, k=14 and d=48.
This code was found by Heurico 1.16 in 3.4 seconds.