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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+40x^150+118x^153+212x^156+218x^159+18x^160+244x^162+180x^163+192x^165+720x^166+162x^168+1440x^169+13122x^170+150x^171+1440x^172+150x^174+576x^175+154x^177+120x^180+102x^183+66x^186+70x^189+80x^192+52x^195+24x^198+20x^201+8x^204+2x^207+2x^240

The gray image is a linear code over GF(3) with n=765, k=9 and d=450.
This code was found by Heurico 1.16 in 4.67 seconds.