The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 0 1 1 1 X 1 1 0 1 1 X 1 1 1 1 0 1 0 1 X 0 0 1 X X 1 X X X 1 0 1 1 1 0 X 1 1 X 1 0 X 0 X 1 1 1 1 0 X 1 1 X 0 X 1 1 1 1 1 1 X 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 1 X+1 0 0 1 X+1 0 1 X+1 1 1 X+1 X+1 1 0 1 X 1 X 1 1 1 X+1 1 1 X+1 1 1 1 X+1 1 0 X+1 0 1 1 0 X 1 1 1 1 X 1 X+1 X+1 X 0 X 1 1 X 1 X X 0 X X+1 X 1 1 1 1 X+1 0 X 0 1 1 1 1 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 X X X X X X X X X 0 0 X 0 0 0 X X X 0 X 0 0 X X 0 0 0 X X X 0 0 X X 0 X 0 X X 0 X X 0 X X 0 0 0 0 X X 0 X 0 X X 0 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X X X X X X 0 0 0 X 0 0 X 0 X 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 0 0 X X X X X 0 0 0 X 0 X X X 0 0 0 X X X X X X X X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X 0 0 0 X X X 0 0 0 X 0 0 X 0 0 0 X X X X X X 0 0 X X X 0 X 0 0 0 0 X X X 0 0 X 0 X 0 X X X 0 0 X 0 X 0 0 X X 0 X 0 0 X 0 X X X X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 X X 0 X X X X 0 X X 0 X X 0 0 0 0 0 0 0 0 X X 0 X X 0 X X 0 X X 0 X 0 0 0 X X 0 0 X X X X 0 X X X 0 0 0 X X 0 0 0 X 0 X X 0 0 X 0 0 X X X X X X X 0 0 X 0 0 0 0 0 0 X 0 X X 0 X 0 0 X X X 0 0 0 X X X X 0 0 X X X 0 X 0 0 0 0 0 X X X X X 0 0 0 X 0 0 X X 0 X 0 X X X X X 0 X 0 0 0 0 X 0 X 0 X 0 0 0 0 0 0 X X 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 0 0 X 0 X X X X X 0 0 0 0 0 0 X X X X 0 0 X X X X X X 0 X 0 X X 0 0 X 0 0 0 0 X 0 X 0 0 X X X X 0 0 0 X 0 X X X 0 X X X 0 0 X X 0 X 0 0 0 0 X X X X X 0 generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+96x^82+124x^84+203x^86+91x^88+121x^90+69x^92+109x^94+57x^96+77x^98+26x^100+18x^102+9x^104+8x^106+5x^108+5x^110+1x^114+1x^118+2x^120+1x^122 The gray image is a linear code over GF(2) with n=180, k=10 and d=82. This code was found by Heurico 1.16 in 13.2 seconds.