The generator matrix

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

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+116x^63+290x^66+6x^67+42x^68+648x^69+108x^70+228x^71+1342x^72+480x^73+720x^74+2600x^75+1266x^76+1824x^77+4968x^78+2682x^79+3018x^80+7306x^81+3720x^82+3276x^83+7030x^84+2940x^85+2670x^86+4838x^87+1584x^88+1128x^89+2378x^90+336x^91+216x^92+758x^93+280x^96+162x^99+68x^102+10x^105+8x^108+2x^114

The gray image is a linear code over GF(3) with n=123, k=10 and d=63.
This code was found by Heurico 1.16 in 28.7 seconds.