The generator matrix 1 0 1 1 1 1 1 X 1 2X 1 1 1 1 1 2X X^2 1 1 1 1 X^2+X 1 1 1 2X^2 1 1 2X 1 1 1 1 1 1 2X^2+2X 2X^2+X 1 1 1 1 1 1 1 1 X^2+2X 1 1 X 1 1 1 1 1 1 2X 1 2X^2 1 X 1 2X^2 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X^2 1 1 1 1 X^2 X X^2 2X^2 1 0 1 1 1 0 1 1 2 2X^2 2X+1 2 1 2 1 0 2X^2+2X+1 2X^2+2X+1 2X^2 X+2 1 1 X+1 0 2X^2+X+2 0 1 1 2X^2+2X+2 X^2 1 X^2+2 2X+1 1 2X+1 2 2X^2+X 1 X+2 2X^2+X 1 1 2X^2+2X+2 1 X^2+X X^2+1 2X^2+X+2 2X^2+2X 2X^2+X+1 X^2+2 1 X+2 2X^2+1 1 2X^2+2X X^2+X+2 2X^2+X+1 2X^2+X X^2+1 2X+2 1 X^2+2X+1 1 X^2+X 1 X^2+1 1 2X 2X^2+2 1 2X^2+X+2 2X^2+2X+2 X^2+2 2X^2+1 X^2+1 2X+2 X^2+X 2X^2+2X+2 X^2+X+2 2X^2+2X 2X^2+2X X^2+2X 2X 2X^2+X X 2X^2+2X+2 2X^2+2X+2 2X^2+2X+1 2 1 2X 0 1 X^2+X X X X^2+X+2 2X^2+1 0 0 2X 0 2X^2 0 0 X^2 X^2 0 2X^2 2X^2 2X^2 2X^2+X 2X^2+X X^2+2X X X^2+X X^2+2X X^2+2X 2X^2+X X^2+X X^2+2X X 2X^2+2X X X^2+2X X X^2+2X 2X X^2+2X X X^2+X 2X^2+X X^2+2X 2X^2+2X X^2 0 2X^2+2X X^2+X X^2+X 2X X^2 0 X 2X^2+X 2X^2 X 2X 2X^2+X 2X 2X^2+X X^2+X X^2+X 2X 2X^2 2X 2X^2+2X 2X^2+2X 2X^2+2X X^2+2X X^2+X 2X^2 2X^2 2X^2+X X X 2X^2+2X X^2 2X^2 X^2 0 0 X X^2+X 2X^2+2X 2X^2+X 2X^2 2X^2 X X^2+X X^2 0 0 X^2 2X^2+X 2X^2 X^2+X 2X^2+2X 2X^2 2X 2X^2+2X 2X^2+2X 0 0 0 X 2X^2+X X^2+X X^2 X X^2+2X X^2+2X 2X 0 2X^2+2X 2X^2+2X X^2+2X X^2+2X 2X^2 X^2+2X 0 2X^2 X^2 X 2X^2+X 2X^2 X^2+X 2X X^2+X 0 0 X^2+2X 2X 2X^2+X X^2+X X^2+X X^2+2X 2X^2+X X^2+2X 2X^2+X 2X^2 X 2X X^2+X 2X^2+X 2X X^2 0 X^2 X^2+X 2X^2+2X X 2X^2+2X 0 2X^2+2X X^2 X^2+X X^2 2X^2 2X^2+X X 2X 2X 2X X^2+2X X^2+X X^2+X 2X 0 X^2 X^2+X 0 X^2+2X 2X^2+2X 2X^2 X X 2X X^2+2X X X^2 X^2+X X X X^2+2X X^2+2X X^2 2X^2+2X X 0 2X^2+2X X^2+2X 2X^2+X 2X 2X^2+2X generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 175. Homogenous weight enumerator: w(x)=1x^0+258x^175+474x^176+838x^177+1512x^178+1812x^179+2652x^180+3342x^181+2820x^182+3560x^183+5448x^184+3858x^185+5048x^186+5424x^187+4416x^188+4016x^189+4662x^190+2526x^191+2214x^192+1638x^193+678x^194+662x^195+342x^196+228x^197+120x^198+72x^199+108x^200+14x^201+72x^202+48x^203+50x^204+42x^205+42x^206+18x^207+24x^208+2x^210+2x^213+6x^214 The gray image is a linear code over GF(3) with n=837, k=10 and d=525. This code was found by Heurico 1.16 in 15 seconds.