The generator matrix

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

generates a code of length 27 over Z9 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+138x^40+174x^41+512x^42+1032x^43+1380x^44+2096x^45+3540x^46+3546x^47+5592x^48+8580x^49+8652x^50+11902x^51+14898x^52+14088x^53+16944x^54+18666x^55+13986x^56+14394x^57+12870x^58+8076x^59+6004x^60+4914x^61+2406x^62+1408x^63+960x^64+180x^65+174x^66+12x^67+14x^69+8x^72

The gray image is a code over GF(3) with n=81, k=11 and d=40.
This code was found by Heurico 1.13 in 55.2 seconds.