The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^4+64x^5+1232x^6+1856x^7+9430x^8+10368x^9+19424x^10+10368x^11+9420x^12+1856x^13+1232x^14+64x^15+113x^16

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 1.69 seconds.