The generator matrix

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

generates a code of length 75 over Z3[X]/(X^3) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+324x^141+720x^142+1536x^143+2716x^144+3180x^145+4068x^146+5012x^147+4044x^148+5520x^149+6192x^150+4134x^151+4944x^152+5044x^153+3312x^154+2904x^155+2182x^156+1320x^157+840x^158+558x^159+270x^160+84x^161+46x^162+24x^163+12x^164+30x^165+12x^167+6x^168+6x^169+6x^170+2x^171

The gray image is a linear code over GF(3) with n=675, k=10 and d=423.
This code was found by Heurico 1.16 in 8.74 seconds.