The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+39x^4+32x^5+54x^6+224x^7+319x^8+224x^9+68x^10+32x^11+25x^12+6x^14

The gray image is a code over GF(2) with n=32, k=10 and d=8.
This code was found by Heurico 1.16 in 0.00113 seconds.