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 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 X X 1 1 1 X 1 X 1 X 1 0 X 1 X 1 0 X 0 0 2X 2X^2+X X 2X^2+2X 2X 0 X^2 2X^2 2X^2+X 2X^2+2X 2X^2+X 2X^2+2X X 2X X^2+X X^2 2X^2+2X X 2X X^2 2X^2+X 0 2X X^2 2X^2 2X X^2 2X^2+X 2X X^2+2X 2X^2 2X X 2X^2+2X 2X^2 X^2+2X X^2+X X 2X^2+X 2X^2 2X X 0 2X X X^2 2X^2+2X 2X^2+2X 2X^2+X 0 2X^2+X 0 X^2+X 2X^2+2X 2X^2+X 0 2X^2+2X 2X^2+X X 2X X^2+X 2X^2+2X X^2+X X 2X 2X^2+2X X^2+2X 0 X 2X^2+2X 2X^2 0 2X 2X X^2 2X^2+X X^2 0 2X 2X 2X^2+2X X 2X 0 X X X^2+2X 2X^2 X 0 0 X 2X 0 X^2+2X X 2X^2+X X^2+2X X^2 2X 2X^2+X 2X 2X^2+X X^2 0 X^2+X X^2+2X X 2X^2+X X X^2+2X 0 2X X^2 X^2 2X 2X^2 X^2 2X^2+2X X 0 0 X^2+X 2X 2X^2 2X^2+2X X^2+2X X 2X^2+X X^2 X^2+2X X^2+X 2X^2+X 0 2X^2+X X^2 X^2+2X X^2+2X X^2+X X 2X^2 X^2+X X^2+2X 2X^2 2X^2 X X^2+X 2X 2X^2+2X X^2+2X 0 X 0 2X 2X^2+X 2X^2 0 X^2 2X^2+2X 2X^2 X X 2X^2+2X 2X^2+2X 2X^2 X^2 0 X X X^2 2X^2+2X 0 X^2+2X 2X^2+X X^2+2X X^2+2X X^2+X 2X^2 2X^2+X X 2X X^2+2X 0 0 0 X^2 0 0 0 0 0 0 0 2X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 0 0 X^2 2X^2 2X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 2X^2 0 2X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 0 0 2X^2 0 X^2 2X^2 2X^2 X^2 0 2X^2 X^2 2X^2 0 X^2 2X^2 2X^2 0 0 0 2X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 X^2 0 2X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 2X^2 X^2 2X^2 0 2X^2 X^2 X^2 0 X^2 2X^2 2X^2 0 2X^2 2X^2 2X^2 0 X^2 0 2X^2 X^2 X^2 X^2 0 X^2 X^2 0 2X^2 X^2 X^2 2X^2 X^2 0 2X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2 0 X^2 2X^2 0 2X^2 0 0 0 0 0 0 2X^2 X^2 0 X^2 X^2 0 0 0 2X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2 0 0 2X^2 2X^2 0 X^2 X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 X^2 0 0 2X^2 0 0 2X^2 X^2 2X^2 X^2 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+216x^175+348x^176+46x^177+498x^178+696x^179+154x^180+756x^181+1242x^182+468x^183+2196x^184+2568x^185+816x^186+3498x^187+2634x^188+558x^189+912x^190+648x^191+72x^192+264x^193+186x^194+54x^195+180x^196+186x^197+14x^198+84x^199+132x^200+54x^202+66x^203+2x^204+72x^205+30x^206+12x^208+12x^209+6x^211+2x^252 The gray image is a linear code over GF(3) with n=837, k=9 and d=525. This code was found by Heurico 1.16 in 9.19 seconds.