The generator matrix

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

generates a code of length 42 over Z3[X]/(X^3) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+446x^75+180x^76+828x^77+1678x^78+1602x^79+3384x^80+4258x^81+5292x^82+7722x^83+6646x^84+7218x^85+7542x^86+5004x^87+3204x^88+2394x^89+1112x^90+430x^93+84x^96+20x^99+2x^102+2x^105

The gray image is a linear code over GF(3) with n=378, k=10 and d=225.
This code was found by Heurico 1.16 in 94.7 seconds.