The generator matrix

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

generates a code of length 74 over Z3[X]/(X^2) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+468x^141+490x^144+306x^147+356x^150+214x^153+126x^156+138x^159+72x^162+8x^168+6x^171+2x^186

The gray image is a linear code over GF(3) with n=222, k=7 and d=141.
This code was found by Heurico 1.16 in 39.7 seconds.