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  X  1  X  1  0  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  0  1  X  1  1  X  1  1  1  1  1  1
 0  X 2X  0 X+3 2X  0 X+3 2X  6 X+3 2X 2X+6  0 X+3 X+6 2X+6  6 2X  0 X+3 X+6  0 2X  6  X 2X+6 2X+3  6 2X  0 X+3  3  X 2X X+6  6 X+3 X+3 2X+3 2X 2X+3  X  3  6 X+3 X+3 2X+3 X+3  6  6 X+6  X 2X X+3  3  6  6 X+6  3  X 2X 2X X+3  X  X X+3 2X+3  6 2X X+3 X+6 2X+6  3  0  0
 0  0  6  0  0  0  0  3  6  0  6  3  3  0  0  6  0  0  6  3  3  6  6  3  3  6  0  3  3  6  3  3  3  3  3  3  6  3  6  0  3  0  3  3  0  0  0  0  6  3  3  3  3  0  0  3  3  0  0  6  3  6  3  0  0  6  3  0  0  0  3  0  6  6  6  0
 0  0  0  6  0  0  0  0  0  3  0  6  3  6  6  6  6  3  6  3  6  6  0  3  6  0  6  6  3  3  6  3  0  6  0  3  6  6  0  3  3  0  0  3  3  0  3  3  0  0  3  3  0  6  3  0  0  6  3  0  6  0  3  3  0  6  0  3  6  6  6  3  3  6  0  0
 0  0  0  0  3  0  6  3  6  6  0  6  3  0  3  0  3  0  3  3  0  0  3  6  6  0  0  3  3  3  0  3  3  3  0  6  3  0  6  3  3  3  6  6  3  6  3  0  3  0  3  0  6  0  6  0  6  3  0  0  3  3  3  0  6  3  3  3  3  6  3  3  6  0  6  0
 0  0  0  0  0  6  6  0  3  6  0  0  6  6  3  3  6  6  0  3  0  0  3  6  6  6  6  0  6  0  6  3  0  6  6  6  0  6  3  6  0  0  3  3  3  6  3  3  3  0  0  6  0  3  0  3  6  6  0  3  0  3  0  3  6  3  0  0  3  3  3  0  0  0  3  0

generates a code of length 76 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+68x^138+78x^140+294x^141+24x^142+180x^143+478x^144+120x^145+492x^146+516x^147+732x^148+2166x^149+462x^150+2304x^151+4086x^152+484x^153+2364x^154+2760x^155+436x^156+240x^157+204x^158+420x^159+48x^160+162x^161+248x^162+42x^164+128x^165+36x^167+38x^168+32x^171+14x^174+6x^177+8x^180+4x^183+2x^186+4x^192+2x^204

The gray image is a code over GF(3) with n=684, k=9 and d=414.
This code was found by Heurico 1.16 in 2.93 seconds.