The generator matrix

 1  0  0  0  1  2  1  1
 0  1  0  0  1  0  0  0
 0  0  1  0  1  0  0  0
 0  0  0  1  1  0  0  0
 0  0  0  0  2  2  0  0
 0  0  0  0  0  4  0  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+94x^2+288x^3+1256x^4+2208x^5+6658x^6+12864x^7+18798x^8+12864x^9+6658x^10+2208x^11+1256x^12+288x^13+94x^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 0.693 seconds.