The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+271x^24+280x^26+255x^28+136x^30+68x^32+13x^36

The gray image is a code over GF(2) with n=108, k=10 and d=48.
This code was found by Heurico 1.16 in 41.8 seconds.