The generator matrix

 1  1  1  1  1  1  1  1  4  1  1
 0  2  0  6  0  4  6  6  4  0  0
 0  0  4  0  0  4  4  4  0  0  0
 0  0  0  4  4  4  4  0  0  0  0

generates a code of length 11 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+13x^8+56x^10+43x^12+8x^14+6x^16+1x^20

The gray image is a code over GF(2) with n=44, k=7 and d=16.
This code was found by Heurico 1.16 in 0.000582 seconds.