The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+45x^24+120x^26+147x^28+128x^29+16x^30+30x^32+24x^34+1x^52

The gray image is a code over GF(2) with n=112, k=9 and d=48.
This code was found by Heurico 1.16 in 0.0118 seconds.