The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 X^2+X 1 1 0 1 1 1 0 1 X^2+X 1 1 0 1 1 X^2+X 1 1 1 1 0 1 X^2+X 1 1 1 0 1 1 X^2+X 1 X^2+X 0 1 X^2 1 1 1 1 1 1 X^2 1 0 1 X^2+X 1 1 1 1 X 1 0 1 0 1 X^2+X 1 1 X 1 1 1 1 1 0 1 X^2 X 0 1 1 1 1 0 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 X^2+X 1 X+1 0 1 X^2+1 0 X^2+1 1 X^2+X 1 X+1 X^2+X+1 1 X^2+X X^2+1 1 0 0 X+1 X^2+X 1 X^2+1 1 0 X^2+X X+1 1 X^2+1 X 1 X^2+1 1 1 0 1 1 X+1 X^2 X^2+X 0 X^2+1 1 X+1 1 X+1 1 0 X^2 X^2+X+1 X^2+X 1 0 1 X^2+X+1 1 1 1 X^2+X+1 X^2+1 X^2 X+1 X^2 X^2+1 X 1 1 X^2 0 1 1 0 X+1 X^2+X X+1 1 X+1 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 generates a code of length 90 over Z2[X]/(X^3) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+28x^76+18x^77+81x^78+78x^79+177x^80+278x^81+267x^82+574x^83+422x^84+950x^85+700x^86+1434x^87+943x^88+1756x^89+1021x^90+1804x^91+892x^92+1470x^93+718x^94+962x^95+419x^96+574x^97+182x^98+230x^99+120x^100+74x^101+51x^102+38x^103+36x^104+29x^106+24x^108+15x^110+7x^112+5x^114+2x^116+3x^118+1x^120 The gray image is a linear code over GF(2) with n=360, k=14 and d=152. This code was found by Heurico 1.16 in 23.7 seconds.