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

generates a code of length 46 over Z9 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+72x^81+136x^84+116x^87+572x^90+1044x^93+56x^96+46x^99+48x^102+32x^105+34x^108+14x^111+12x^114+2x^117+2x^135

The gray image is a code over GF(3) with n=138, k=7 and d=81.
This code was found by Heurico 1.16 in 0.1 seconds.