The generator matrix

 1  0  1  1  1  0  1  1  2  1
 0  1  3  6  1  1  0  0  0  0
 0  0  4  0  0  0  0  0  4  0
 0  0  0  4  0  0  0  0  4  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+36x^4+32x^5+40x^6+160x^7+382x^8+832x^9+1144x^10+832x^11+340x^12+160x^13+88x^14+32x^15+9x^16+8x^18

The gray image is a code over GF(2) with n=40, k=12 and d=8.
This code was found by Heurico 1.16 in 0.0115 seconds.