The generator matrix

 1  0  0  1  1  1  1  1
 0  1  0  1  2  3  0  2
 0  0  1  1  3  2  2  3
 0  0  0  4  0  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+32x^5+116x^6+194x^7+345x^8+190x^9+108x^10+30x^11+6x^12+2x^13

The gray image is a code over GF(2) with n=32, k=10 and d=10.
This code was found by Heurico 1.11 in 0.000692 seconds.