The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+250x^24+144x^25+364x^26+64x^27+406x^28+224x^29+280x^30+64x^31+125x^32+16x^33+92x^34+18x^36

The gray image is a code over GF(2) with n=112, k=11 and d=48.
This code was found by Heurico 1.16 in 0.221 seconds.