The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^46+162x^47+64x^48+162x^49+84x^50+84x^51+192x^52+240x^53+20x^54+300x^55+288x^56+18x^57+234x^58+150x^59+12x^60+42x^61+48x^62+6x^63+24x^66+12x^69+2x^75

The gray image is a code over GF(3) with n=81, k=7 and d=46.
This code was found by Heurico 1.16 in 1.58 seconds.