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

generates a code of length 72 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+90x^132+114x^135+104x^138+432x^140+86x^141+324x^143+4442x^144+486x^146+68x^147+216x^149+40x^150+34x^153+22x^156+34x^159+24x^162+14x^165+14x^168+2x^171+6x^174+6x^177+2x^201

The gray image is a code over GF(3) with n=648, k=8 and d=396.
This code was found by Heurico 1.16 in 0.553 seconds.