The generator matrix

 1  0  1  1  1  6  1  1  2  1  1
 0  1  3  6  5  1  4  6  0  7  3
 0  0  4  0  4  0  0  4  4  4  0

generates a code of length 11 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+71x^10+46x^12+8x^14+1x^16+1x^18

The gray image is a code over GF(2) with n=44, k=7 and d=20.
This code was found by Heurico 1.16 in 0.000659 seconds.