The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+580x^24+912x^26+1200x^28+832x^30+491x^32+48x^34+32x^36

The gray image is a code over GF(2) with n=112, k=12 and d=48.
This code was found by Heurico 1.16 in 10.2 seconds.