The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^24+126x^25+304x^26+514x^27+823x^28+1146x^29+1764x^30+2288x^31+2218x^32+2316x^33+1821x^34+1244x^35+769x^36+420x^37+318x^38+112x^39+65x^40+22x^41+15x^42+2x^43+4x^44+2x^45+1x^46+1x^54

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 4.21 seconds.