The generator matrix

 1  1  1  1  1  1  2  2  2  2  1  1
 0  4  0  4  0  0  4  4  0  0  4  4
 0  0  4  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+28x^12+3x^16

The gray image is a code over GF(2) with n=48, k=5 and d=24.
This code was found by Heurico 1.16 in 0.000415 seconds.