The generator matrix

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

generates a code of length 12 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+13x^12+2x^18

The gray image is a code over GF(2) with n=48, k=4 and d=24.
This code was found by Heurico 1.16 in 0.000385 seconds.