The generator matrix

 1  0  0  1  1  1  2  1  2  1  1
 0  1  0  1  2  3  1  0  1  4  1
 0  0  1  1  3  2  3  3  2  5  1
 0  0  0  4  0  0  0  4  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+50x^8+144x^9+212x^10+232x^11+196x^12+128x^13+44x^14+8x^15+9x^16

The gray image is a code over GF(2) with n=44, k=10 and d=16.
This code was found by Heurico 1.11 in 0.00188 seconds.