The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+161x^24+32x^25+64x^26+224x^27+64x^28+224x^29+64x^30+32x^31+154x^32+3x^40+1x^48

The gray image is a code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 0.412 seconds.