The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3  0  0  0  0  3  6  6  0  0  3  3  3  3  3  3  3  0  6  0  6  0  6  0  3  6  3  6  6  0  0  6  3  0  3  6  6  0  6  3  3  0  0  3  3  6  6  0  3  6  0  3  6  6  0  0  6  0  3  6  6  3  6  3  0  3  0  3  6  6  6  0  0  3  3  0  3  6  6  6  0  0  0  0  3  3  0  6  6
 0  0  3  0  0  3  6  0  6  0  3  3  6  6  0  3  0  3  3  3  3  0  0  6  6  3  3  6  0  6  0  3  3  0  6  6  6  0  6  3  3  0  6  6  6  0  3  0  6  0  6  6  6  0  6  0  0  6  6  0  0  6  6  0  3  0  6  6  0  0  3  6  3  3  3  3  3  3  3  3  3  0  0  0  3  6  3  3  0  3
 0  0  0  3  0  6  6  3  0  3  3  0  0  3  6  3  3  6  6  0  0  6  6  6  6  6  3  3  0  3  6  3  6  6  3  6  3  0  0  0  3  0  0  6  0  6  6  3  0  3  6  6  0  0  6  0  6  0  3  0  6  0  6  6  0  3  3  3  3  3  3  3  6  3  0  3  0  6  6  3  0  0  0  3  6  6  3  0  0  0
 0  0  0  0  3  6  6  6  6  6  0  6  0  0  6  6  0  3  0  0  6  6  3  6  3  6  0  6  0  0  6  6  3  0  0  0  6  6  0  3  3  3  3  0  6  3  0  0  6  6  0  6  3  3  3  6  0  0  6  6  0  3  3  3  3  3  3  3  3  3  3  3  3  3  0  0  3  0  6  6  6  0  3  6  6  6  3  6  3  3

generates a code of length 90 over Z9 who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+36x^174+72x^177+510x^180+72x^183+36x^186+2x^270

The gray image is a code over GF(3) with n=270, k=6 and d=174.
This code was found by Heurico 1.16 in 0.167 seconds.