The generator matrix 1 0 0 1 1 1 1 X 1 1 2X 1 1 X 1 2X 0 0 1 1 1 1 1 1 1 1 2X 1 1 1 2X 1 1 X 1 1 0 0 1 0 1 1 1 1 1 0 1 1 X 1 1 1 X 1 1 0 X 1 1 1 1 1 1 2X 1 1 1 X 1 1 1 1 1 1 1 1 0 X 1 1 X 1 1 2X 1 1 1 1 X 1 1 1 0 1 0 0 0 2X+1 1 1 2X+2 2X+1 1 2 2 1 1 1 1 X 1 2X+1 X 2 2X+2 2X 2X X+2 1 2X+2 2X+2 2X 0 2X+1 0 1 X+1 1 1 X 2 1 0 2X+2 2X+2 X+1 2X 1 X+1 X+2 2X 0 2 X 1 2X+2 2X+1 1 1 X 2X 2X 2X 2X+2 X+2 1 2X 0 X+2 1 2 1 2X X 0 2X+1 2X+2 0 1 1 2X 2X+1 1 2 2X 2X 0 X+2 X+2 2 1 2 2X+2 2X+1 0 0 1 1 2 2X+2 1 X+2 2X+1 2X 1 0 X+2 2X 2X+1 1 X+2 1 0 2X+2 0 X+2 2X 2X+2 X+1 1 2X+2 2 2X+1 X+2 1 2 0 2X X X+1 X+1 1 2X X+1 2X+1 2X 2X+1 2X 2X X+1 1 2 1 X+2 0 2X+2 2X+2 2X 2X+1 1 X+2 X+1 0 X+1 0 1 2X 2X 1 2 2X+1 X+2 1 2X+2 2X X 1 1 2X+2 2 2 2 0 0 1 0 2X+1 1 2 X+2 2X X 2 2X+1 0 2 0 0 0 2X 0 0 0 0 0 2X X 2X X X 2X 2X 2X 2X X X X 2X X 2X 0 0 2X 0 X 2X X X 0 X X 2X X 2X 0 0 X 0 2X 2X 2X X X 0 X X 0 X 0 X 0 2X X 0 2X X X X X 0 0 0 0 X 2X X 2X 0 2X X 2X 2X 2X 0 0 X 0 0 X 2X X X 0 X X 0 0 0 0 0 0 0 X X X 0 X 0 X 0 2X X 0 2X 2X 2X 2X 2X X 2X 0 2X 2X 2X 0 2X X X 2X 0 2X 0 X 2X 0 0 0 X 0 2X 2X X 2X 2X 0 0 0 X X 0 2X X 2X X 2X 0 X X 2X 0 2X X X 0 X X 0 0 0 2X X X 0 2X 0 2X X X 0 0 X X 2X 0 2X 2X 0 X X 0 generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 173. Homogenous weight enumerator: w(x)=1x^0+282x^173+254x^174+624x^176+346x^177+774x^179+334x^180+666x^182+352x^183+618x^185+260x^186+390x^188+196x^189+366x^191+170x^192+240x^194+122x^195+240x^197+82x^198+108x^200+24x^201+48x^203+26x^204+18x^206+6x^207+10x^210+2x^216+2x^231 The gray image is a linear code over GF(3) with n=276, k=8 and d=173. This code was found by Heurico 1.16 in 1.06 seconds.