The generator matrix 1 0 0 1 1 1 X^2+X X 1 1 1 X^2 X^2 1 0 1 1 1 X 0 1 X^2 X^2+X 1 1 1 X 1 X^2+X 1 X^2 1 X 1 1 1 1 1 X^2 X^2+X 1 1 X^2 0 0 1 X^2 1 1 1 1 1 X^2 X^2+X 1 1 1 X X 1 1 X^2+X X^2 1 X^2+X 1 X X^2+X 1 1 1 X^2+X 1 1 1 0 X^2 X^2+X X 1 X^2 1 1 1 0 1 1 1 0 1 0 0 1 X+1 1 X^2 X^2+X+1 X+1 X^2+X 1 1 X^2 0 0 X^2+1 X 1 1 1 1 0 X X^2+X X^2+1 1 X^2+X+1 X 1 1 X^2+X 1 X 1 X^2 X^2+X+1 0 0 1 X^2 X 1 1 1 X^2+1 X^2+X X^2 X+1 X^2 X+1 X+1 1 1 X X^2+X 1 1 1 X^2+X 0 X^2+X X^2 1 1 X+1 1 1 X X^2+X+1 X^2+1 1 0 X^2 X^2+X X^2+X 1 1 1 0 1 X+1 X^2 1 0 X X^2+1 X 0 0 1 1 1 X^2 1 1 X+1 X^2+X X^2+1 X^2+1 X^2+X X 1 X^2 1 1 1 X^2 X^2 1 1 X+1 X^2 X^2+X+1 0 X^2+X 1 0 X+1 X^2 0 X^2+X+1 X^2+X+1 X+1 X 0 1 X^2+X+1 X^2+X X^2+1 X^2+X X^2+X X+1 1 1 X^2 1 X^2+X X^2+X+1 X^2+X X^2+X+1 X^2+X X^2+X X^2+X X^2+X X X^2+X X^2+X+1 X+1 1 1 X+1 X^2+X+1 0 1 X 1 1 X^2+1 X^2+X+1 X^2+X X+1 X+1 1 X^2+X+1 X^2+X+1 X+1 X^2+X+1 X X^2+X+1 X^2+1 0 1 X^2+X+1 X^2+1 X^2+X 0 0 0 X X^2+X 0 X X X^2+X 0 X^2+X X^2+X 0 0 X^2+X X^2+X X^2 0 X^2 X^2+X X X^2 0 0 X X^2 X X^2 X^2 X^2 X X^2 0 X X^2+X X X^2+X 0 X^2 0 X^2+X 0 0 X^2+X X^2+X 0 X X^2 X^2+X X X^2 X X^2 X^2 X^2+X X^2 X^2+X 0 X X^2 X^2+X X X X^2 X X^2+X 0 X^2+X X X X X^2 X^2 X^2 0 X^2+X 0 X X^2+X 0 X X^2+X X^2+X X X^2+X 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 generates a code of length 88 over Z2[X]/(X^3) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+86x^81+208x^82+284x^83+381x^84+412x^85+401x^86+420x^87+333x^88+244x^89+260x^90+204x^91+177x^92+178x^93+116x^94+102x^95+68x^96+68x^97+61x^98+38x^99+29x^100+2x^101+5x^102+6x^103+2x^105+1x^106+2x^107+3x^108+4x^110 The gray image is a linear code over GF(2) with n=352, k=12 and d=162. This code was found by Heurico 1.16 in 1.46 seconds.