The generator matrix

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

generates a code of length 79 over Z3[X]/(X^2) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+82x^138+6x^139+24x^140+610x^141+174x^142+252x^143+1198x^144+582x^145+570x^146+1992x^147+918x^148+996x^149+2834x^150+1242x^151+1452x^152+3852x^153+1614x^154+1998x^155+4706x^156+2166x^157+2160x^158+5002x^159+2268x^160+2400x^161+4574x^162+1848x^163+1548x^164+3688x^165+1224x^166+1056x^167+2206x^168+672x^169+474x^170+1320x^171+330x^172+150x^173+430x^174+60x^175+30x^176+128x^177+18x^178+12x^179+82x^180+56x^183+18x^186+16x^189+8x^192+2x^195

The gray image is a linear code over GF(3) with n=237, k=10 and d=138.
This code was found by Heurico 1.16 in 62.7 seconds.