The generator matrix 1 0 1 1 1 0 1 X^2+X 1 X^2 1 1 1 1 0 1 1 X^2 1 1 0 1 0 X^2+X 1 1 1 0 1 1 X^2+X 1 1 X^2+X X 1 1 X 1 0 X^2 1 1 1 1 X^2+X 1 X^2+X 1 X^2 X^2 X 0 X 1 1 1 1 X^2 0 1 X 1 1 0 X X^2 1 X 1 1 1 X^2+X 1 X^2+X X^2+X 1 X^2+X 0 X 1 1 X X 1 1 1 1 1 1 1 1 1 1 X^2+X 1 1 0 1 1 0 X^2+X+1 1 X 1 X+1 1 X^2+X X^2+1 0 X^2+1 1 X^2+1 X^2 1 X^2+X X+1 1 X+1 1 1 X^2+X 0 X+1 1 X^2+X 1 1 X^2+1 X^2+X 1 1 0 X^2+1 1 X^2 1 1 X X^2+X+1 X^2+1 0 1 X^2+X+1 1 X+1 1 1 1 1 1 X+1 X^2+X+1 X X^2+X 1 X^2 X^2+1 1 0 X^2+1 1 1 1 1 X^2+X X^2+X+1 X^2+X+1 X^2+X+1 1 X+1 1 1 X^2+1 1 1 1 X^2 X^2+1 1 X^2 0 X^2+1 X+1 1 X^2+X+1 X^2+1 X^2+X+1 1 X^2+1 X^2+X+1 1 X^2+X X^2+X 0 0 X 0 X^2+X X X^2 X X^2+X X 0 X^2+X X X^2 0 X^2 X X X^2+X 0 X^2 0 X^2+X X^2+X X^2+X X^2 X X^2 X^2+X X^2 0 X^2+X 0 X^2+X X^2 X X 0 X^2+X X 0 0 X^2 X^2 0 0 0 X^2+X X^2 X X X 0 X^2 X X^2+X X^2+X X 0 X X^2+X 0 0 X^2+X X^2+X 0 X^2 X^2 X^2 X^2 0 X X^2 X X^2+X 0 X^2+X X^2 X^2+X X^2 X^2 X X^2+X X X X^2 X^2+X X X^2 X X^2+X X^2 0 X^2+X X^2 X^2 X^2 0 0 0 X 0 X X X X X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2 X 0 X^2 X^2+X X^2+X X X^2 0 X X^2+X 0 X 0 X^2+X X^2 X X^2 X^2+X X^2 X^2+X X^2 0 0 X X^2+X X^2 X^2+X X 0 0 0 0 X^2+X 0 X^2+X 0 0 X^2 X^2+X X X X X X^2+X X^2 0 X^2 0 0 0 X^2+X X X^2+X X X^2+X X^2+X X^2+X X^2 X^2 X X X X^2 X X^2+X X^2+X 0 0 0 X^2+X X^2 X X^2 X X^2 X^2 X^2 X X^2+X 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+136x^91+244x^92+224x^93+88x^94+124x^95+282x^96+104x^97+80x^98+140x^99+174x^100+128x^101+56x^102+100x^103+60x^104+56x^105+12x^107+24x^108+6x^112+6x^116+2x^120+1x^144 The gray image is a linear code over GF(2) with n=388, k=11 and d=182. This code was found by Heurico 1.16 in 2.11 seconds.