The generator matrix

 1  0  0  0  1  1  1  2
 0  1  0  0  1  2  3  1
 0  0  1  0  1  3  2  3
 0  0  0  1  2  1  3  3

generates a code of length 8 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+224x^5+112x^6+1568x^7+286x^8+1568x^9+112x^10+224x^11+1x^16

The gray image is a code over GF(2) with n=32, k=12 and d=10.
This code was found by Heurico 1.11 in 0.282 seconds.