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

generates a code of length 77 over Z9 who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+292x^144+126x^147+252x^150+582x^153+468x^156+180x^159+184x^162+56x^171+40x^180+4x^189+2x^207

The gray image is a code over GF(3) with n=231, k=7 and d=144.
This code was found by Heurico 1.16 in 14.7 seconds.