The generator matrix

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

generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+52x^156+194x^159+42x^161+288x^162+132x^163+252x^164+390x^165+324x^166+654x^167+444x^168+918x^169+1086x^170+462x^171+1572x^172+1686x^173+462x^174+2628x^175+3042x^176+508x^177+3486x^178+3882x^179+474x^180+4320x^181+4284x^182+502x^183+4698x^184+4362x^185+520x^186+3726x^187+3192x^188+448x^189+2424x^190+2070x^191+376x^192+1404x^193+1152x^194+368x^195+450x^196+384x^197+334x^198+138x^199+132x^200+240x^201+18x^202+24x^203+194x^204+6x^205+150x^207+82x^210+36x^213+28x^216+2x^219+4x^222+2x^225

The gray image is a linear code over GF(3) with n=273, k=10 and d=156.
This code was found by Heurico 1.16 in 87.1 seconds.