The generator matrix

 1  0  1  1  1  6  1  1  1  1
 0  1  3  6  5  1  0  6  3  5
 0  0  4  0  4  0  0  4  4  0
 0  0  0  4  4  4  4  4  4  0

generates a code of length 10 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+51x^8+32x^9+88x^10+32x^11+50x^12+2x^16

The gray image is a code over GF(2) with n=40, k=8 and d=16.
This code was found by Heurico 1.16 in 0.000741 seconds.