The generator matrix

 1  0  1  1  1  0  1  1  1  1
 0  1  1  0  1  1  3  3  3  7
 0  0  2  0  0  0  0  2  6  2
 0  0  0  2  0  6  2  2  6  2
 0  0  0  0  2  0  2  0  6  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
 0  0  0  0  0  0  0  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+205x^4+1664x^6+9906x^8+8192x^9+25600x^10+8192x^11+9906x^12+1664x^14+205x^16+1x^20

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 1.98 seconds.