The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+96x^150+250x^153+66x^154+108x^155+346x^156+258x^157+354x^158+454x^159+564x^160+876x^161+502x^162+1296x^163+1734x^164+504x^165+2202x^166+2364x^167+482x^168+3336x^169+3660x^170+508x^171+4098x^172+4422x^173+442x^174+4770x^175+4440x^176+520x^177+4128x^178+3828x^179+466x^180+3222x^181+2532x^182+504x^183+1470x^184+1242x^185+388x^186+558x^187+540x^188+322x^189+228x^190+114x^191+286x^192+48x^193+24x^194+164x^195+6x^197+168x^198+66x^201+54x^204+20x^207+12x^210+2x^213+4x^216

The gray image is a linear code over GF(3) with n=261, k=10 and d=150.
This code was found by Heurico 1.16 in 83.2 seconds.