The generator matrix
1 0 1 1 1 4 2 1
0 1 1 0 3 1 6 0
0 0 2 0 2 4 2 2
0 0 0 2 2 6 6 6
generates a code of length 8 over Z8 who´s minimum homogenous weight is 5.
Homogenous weight enumerator: w(x)=1x^0+40x^5+125x^6+216x^7+265x^8+216x^9+114x^10+40x^11+6x^12+1x^14
The gray image is a code over GF(2) with n=32, k=10 and d=10.
This code was found by Heurico 1.16 in 0.00156 seconds.