The generator matrix

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

generates a code of length 8 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+90x^2+216x^3+1216x^4+2552x^5+6342x^6+13616x^7+17470x^8+13616x^9+6342x^10+2552x^11+1216x^12+216x^13+90x^14+1x^16

The gray image is a code over GF(2) with n=32, k=16 and d=4.
This code was found by Heurico 1.16 in 0.756 seconds.