The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^8+96x^9+248x^10+192x^11+264x^12+96x^13+40x^14+17x^16

The gray image is a code over GF(2) with n=44, k=10 and d=16.
This code was found by Heurico 1.16 in 0.00592 seconds.