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  X  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  0  X  1  X  1  0  1  1  1  1  1  X  1  1  1  1  1
 0  X 2X  0 2X^2+X 2X X^2 2X^2+X X^2+2X  0 2X^2+X 2X 2X^2 X^2+X 2X^2+2X 2X 2X^2+X  0 2X^2 2X  X X^2+2X 2X^2 2X^2+X  X  0 2X X^2+2X  0 X^2+X  0 2X^2+X 2X^2+2X  X 2X X^2 2X^2+X  0 2X^2+X X^2 2X^2+2X 2X^2  X 2X X^2+X X^2+2X 2X X^2+2X X^2+X 2X^2+X X^2+2X X^2 X^2+2X X^2+X X^2 2X^2+X X^2+2X  0 2X^2+X 2X^2+2X 2X^2+2X 2X^2+X X^2+X 2X 2X 2X^2+2X X^2+X X^2  X 2X^2+X  X 2X  X  X  X  0 2X^2 2X^2 X^2+2X 2X^2+X X^2  0 2X^2+X  0 2X^2+X
 0  0 X^2  0  0  0  0  0 2X^2  0 2X^2 2X^2  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 2X^2 X^2 X^2  0 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2  0 X^2 X^2 2X^2  0 X^2 X^2 2X^2  0  0  0 2X^2 X^2 X^2 X^2  0 X^2 X^2  0 2X^2 2X^2 2X^2 X^2 2X^2 X^2  0  0  0 2X^2 2X^2 X^2  0 X^2  0 X^2 2X^2  0  0 2X^2 X^2 X^2 2X^2  0 X^2 X^2 2X^2  0 2X^2 X^2  0 X^2
 0  0  0 X^2  0  0 2X^2  0  0 X^2 2X^2 2X^2 X^2 X^2 X^2  0 2X^2 2X^2 X^2 X^2 X^2 X^2 2X^2  0 X^2 X^2 X^2 X^2  0 X^2 2X^2  0  0 2X^2  0 2X^2  0 X^2 2X^2 2X^2 2X^2 X^2 X^2  0  0 X^2 X^2 2X^2  0 2X^2 2X^2 X^2  0 X^2  0 X^2 X^2  0 2X^2  0 X^2 2X^2 2X^2 X^2  0 X^2 2X^2  0  0 2X^2 X^2 2X^2 2X^2  0  0 2X^2 X^2 2X^2 2X^2 X^2  0  0 X^2  0  0
 0  0  0  0 2X^2  0  0 X^2  0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2  0 X^2  0 2X^2 X^2 2X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 2X^2  0 X^2 2X^2  0  0 2X^2 X^2 X^2 2X^2  0  0  0 2X^2 2X^2  0 2X^2  0 X^2 2X^2 2X^2 2X^2 X^2  0 2X^2 X^2 2X^2  0  0 X^2 2X^2  0  0 2X^2  0  0 X^2 X^2 X^2 2X^2  0  0 X^2  0 X^2 2X^2  0 2X^2 2X^2
 0  0  0  0  0 X^2  0  0 2X^2 2X^2  0 2X^2 X^2  0 X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2  0  0 2X^2  0 X^2  0  0 2X^2  0 2X^2 X^2  0 2X^2 X^2 2X^2 2X^2 X^2 X^2  0 X^2 2X^2 2X^2 X^2  0 X^2 X^2  0  0 2X^2 X^2  0 X^2 2X^2  0 2X^2 2X^2 2X^2  0 2X^2 2X^2 2X^2 2X^2 2X^2  0  0 2X^2 2X^2  0 2X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2 X^2 X^2 X^2 X^2  0  0  0

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+106x^156+438x^159+720x^162+162x^164+920x^165+972x^166+972x^167+1086x^168+3888x^169+1944x^170+1004x^171+3888x^172+1296x^173+874x^174+666x^177+346x^180+218x^183+100x^186+32x^189+22x^192+10x^195+10x^198+2x^201+4x^204+2x^234

The gray image is a linear code over GF(3) with n=765, k=9 and d=468.
This code was found by Heurico 1.16 in 3.36 seconds.