The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+42x^154+90x^155+298x^156+198x^157+486x^158+584x^159+438x^160+990x^161+1268x^162+822x^163+1728x^164+1682x^165+1158x^166+2676x^167+1972x^168+1542x^169+3588x^170+2552x^171+1812x^172+3786x^173+2682x^174+2076x^175+4338x^176+2872x^177+1842x^178+3786x^179+2356x^180+1554x^181+2418x^182+1660x^183+924x^184+1458x^185+908x^186+432x^187+654x^188+428x^189+198x^190+186x^191+206x^192+72x^193+60x^194+72x^195+12x^196+50x^198+52x^201+18x^204+12x^207+8x^210+2x^216

The gray image is a linear code over GF(3) with n=261, k=10 and d=154.
This code was found by Heurico 1.16 in 74.7 seconds.