The generator matrix

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

generates a code of length 8 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+63x^4+374x^6+1167x^8+388x^10+49x^12+6x^14

The gray image is a code over GF(2) with n=32, k=11 and d=8.
This code was found by Heurico 1.16 in 0.00353 seconds.