The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+106x^24+128x^26+248x^28+12x^32+16x^36+1x^48

The gray image is a code over GF(2) with n=108, k=9 and d=48.
This code was found by Heurico 1.16 in 15.2 seconds.