The generator matrix

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

generates a code of length 10 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+116x^4+536x^5+968x^6+4024x^7+5806x^8+13872x^9+14904x^10+13872x^11+5764x^12+4024x^13+1016x^14+536x^15+89x^16+8x^18

The gray image is a code over GF(2) with n=40, k=16 and d=8.
This code was found by Heurico 1.16 in 1.47 seconds.