The generator matrix

 1  0  1  1  1  1  1  3  1  1  1  6  1  1  1  0  1  1  1  3  1  1  1  6  1  1  1  1  1  1  1  1  1  0  3  6  1  1  1  1  1  1  1  1  0  3  3  0  6  1  1  3  1  1  1
 0  1  7  8  3  4  2  1  6  1  5  1  0  7  8  1  3  4  2  1  6  1  5  1  0  7  8  3  4  2  6  1  5  1  1  1  0  3  7  8  7  0  2  5  1  1  6  3  1  4  6  0  3  6  4

generates a code of length 55 over Z9 who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+54x^110+14x^111+8x^117+4x^120

The gray image is a code over GF(3) with n=165, k=4 and d=110.
This code was found by Heurico 1.16 in 0.0224 seconds.