The generator matrix

 1  0  1  1  1  0  2  2
 0  1  1  0  3  1  0  4
 0  0  2  0  2  0  2  2
 0  0  0  2  2  6  2  0
 0  0  0  0  4  0  0  4
 0  0  0  0  0  4  0  4
 0  0  0  0  0  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+172x^4+128x^5+1344x^6+896x^7+3110x^8+896x^9+1344x^10+128x^11+172x^12+1x^16

The gray image is a code over GF(2) with n=32, k=13 and d=8.
This code was found by Heurico 1.16 in 0.0419 seconds.