The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^24+152x^25+229x^26+660x^27+695x^28+1650x^29+1255x^30+2674x^31+1610x^32+2666x^33+1356x^34+1634x^35+632x^36+630x^37+224x^38+150x^39+56x^40+22x^41+7x^42+2x^43+9x^44+1x^46+1x^48

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 3.46 seconds.