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

generates a code of length 84 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+106x^156+174x^159+290x^162+486x^164+330x^165+1944x^167+480x^168+1944x^170+390x^171+224x^174+60x^177+30x^180+18x^183+34x^186+8x^189+16x^192+6x^195+6x^198+8x^201+2x^207+2x^213+2x^225

The gray image is a code over GF(3) with n=756, k=8 and d=468.
This code was found by Heurico 1.16 in 16.5 seconds.