The generator matrix

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

generates a code of length 74 over Z3[X]/(X^2) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+540x^138+1066x^141+1040x^144+1152x^147+860x^150+720x^153+492x^156+368x^159+202x^162+84x^165+28x^168+6x^171+2x^180

The gray image is a linear code over GF(3) with n=222, k=8 and d=138.
This code was found by Heurico 1.16 in 2.57 seconds.