The generator matrix

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

generates a code of length 27 over Z9 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+186x^46+198x^47+382x^48+462x^49+258x^50+412x^51+660x^52+300x^53+552x^54+762x^55+366x^56+536x^57+546x^58+246x^59+254x^60+276x^61+78x^62+50x^63+24x^64+12x^65

The gray image is a code over GF(3) with n=81, k=8 and d=46.
This code was found by Heurico 1.16 in 0.19 seconds.