The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+169x^24+164x^25+352x^26+240x^27+333x^28+200x^29+216x^30+144x^31+148x^32+20x^33+56x^34+3x^36+2x^40

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 0.0538 seconds.