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

generates a code of length 80 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+54x^147+30x^149+112x^150+96x^152+96x^153+192x^155+588x^156+294x^158+2040x^159+414x^161+2006x^162+294x^164+52x^165+108x^167+34x^168+30x^170+10x^171+36x^174+14x^177+12x^180+16x^183+6x^186+6x^189+8x^192+8x^195+2x^198+2x^210

The gray image is a code over GF(3) with n=720, k=8 and d=441.
This code was found by Heurico 1.16 in 0.668 seconds.