The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^12+4x^14+1x^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 0.000421 seconds.