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

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

Homogenous weight enumerator: w(x)=1x^0+9x^24+24x^25+22x^26+144x^27+22x^28+24x^29+9x^30+1x^54

The gray image is a code over GF(2) with n=108, k=8 and d=48.
This code was found by Heurico 1.16 in 0.00587 seconds.