The generator matrix

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

generates a code of length 72 over Z9 who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+80x^129+60x^130+258x^131+312x^132+348x^133+672x^134+626x^135+402x^136+1092x^137+918x^138+660x^139+1320x^140+946x^141+606x^142+1332x^143+922x^144+672x^145+1254x^146+1002x^147+624x^148+1206x^149+724x^150+480x^151+894x^152+536x^153+366x^154+510x^155+338x^156+114x^157+186x^158+90x^159+24x^160+18x^161+24x^162+18x^163+6x^164+16x^165+14x^168+2x^171+4x^174+2x^177+4x^180

The gray image is a code over GF(3) with n=216, k=9 and d=129.
This code was found by Heurico 1.16 in 6.9 seconds.