The generator matrix

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

generates a code of length 27 over Z9 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+36x^39+6x^40+90x^41+234x^42+144x^43+588x^44+860x^45+624x^46+1818x^47+1850x^48+1662x^49+4320x^50+3792x^51+3222x^52+7032x^53+5546x^54+3828x^55+7146x^56+4440x^57+2706x^58+4122x^59+2208x^60+846x^61+1074x^62+576x^63+84x^64+54x^65+96x^66+30x^69+10x^72+4x^75

The gray image is a code over GF(3) with n=81, k=10 and d=39.
This code was found by Heurico 1.16 in 12.6 seconds.