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

generates a code of length 28 over Z9 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+104x^36+360x^39+668x^42+976x^45+1662x^48+2348x^51+16016x^54+29412x^57+2934x^60+2152x^63+1332x^66+670x^69+266x^72+120x^75+22x^78+6x^81

The gray image is a code over GF(3) with n=84, k=10 and d=36.
This code was found by Heurico 1.16 in 22 seconds.