The generator matrix

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

generates a code of length 45 over Z3[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+18x^73+12x^74+266x^75+216x^76+144x^77+622x^78+912x^79+510x^80+1268x^81+1914x^82+1074x^83+2264x^84+3438x^85+2016x^86+3208x^87+5304x^88+3156x^89+4020x^90+5658x^91+3072x^92+3590x^93+4932x^94+2034x^95+2540x^96+2676x^97+870x^98+1268x^99+996x^100+216x^101+390x^102+162x^103+18x^104+160x^105+18x^106+56x^108+24x^111+4x^114+2x^117

The gray image is a linear code over GF(3) with n=135, k=10 and d=73.
This code was found by Heurico 1.16 in 90.2 seconds.