The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+127x^4+456x^5+1618x^6+3680x^7+4671x^8+3568x^9+1676x^10+480x^11+97x^12+8x^13+2x^14

The gray image is a code over GF(2) with n=32, k=14 and d=8.
This code was found by Heurico 1.16 in 0.153 seconds.