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  2
 0  4  0  0  0  0  0  4  0  0  4  4  0  0  4  4  0  4  0  4  0  4  0  4  4  0  4
 0  0  4  0  0  0  0  4  0  4  4  0  0  4  4  0  4  4  4  4  4  4  0  0  4  4  0
 0  0  0  4  0  0  0  4  4  0  4  0  4  4  0  4  4  0  4  0  4  0  4  4  4  0  4
 0  0  0  0  4  0  4  0  4  4  0  4  4  0  0  0  0  4  4  0  4  4  0  0  4  4  0
 0  0  0  0  0  4  4  0  0  4  4  0  4  0  4  0  4  0  4  0  0  4  4  4  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+21x^24+32x^26+128x^27+67x^28+6x^32+1x^52

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 0.00768 seconds.