The generator matrix

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

generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+80x^159+250x^162+318x^165+434x^168+90x^169+430x^171+348x^172+498x^174+732x^175+402x^177+1542x^178+544x^180+2262x^181+486x^183+2856x^184+518x^186+2532x^187+466x^189+1722x^190+406x^192+786x^193+436x^195+210x^196+360x^198+42x^199+304x^201+218x^204+168x^207+130x^210+66x^213+22x^216+18x^219+4x^222+2x^231

The gray image is a linear code over GF(3) with n=276, k=9 and d=159.
This code was found by Heurico 1.16 in 18.6 seconds.