The generator matrix 1 0 0 0 0 0 1 1 1 X 0 1 1 X 1 0 X 0 1 1 0 1 0 X 0 0 X 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 X X X X 1 1 X+1 1 1 1 1 1 1 X X+1 1 X 1 0 0 1 0 0 0 0 0 0 0 X 1 1 1 1 1 0 X 1 X+1 X+1 X+1 X 0 X+1 X+1 1 X+1 0 X 0 0 0 0 1 0 0 0 1 1 1 1 0 X X X+1 1 1 1 X+1 0 X+1 0 1 X 0 X X+1 X+1 0 X 0 0 0 0 0 1 0 1 0 X+1 1 1 X 1 1 0 X X 0 0 X+1 X+1 X 0 X+1 X+1 0 0 1 1 1 0 0 0 0 0 0 1 1 X+1 X 1 0 0 0 0 X 1 X+1 X X+1 X+1 0 X+1 0 0 X 1 X X X+1 1 X 0 0 0 0 0 0 X X 0 0 X X 0 X 0 0 X X X 0 0 X 0 0 X X X X 0 0 0 generates a code of length 31 over Z2[X]/(X^2) who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+77x^22+134x^23+194x^24+318x^25+414x^26+514x^27+577x^28+618x^29+742x^30+856x^31+824x^32+724x^33+640x^34+568x^35+382x^36+228x^37+149x^38+98x^39+68x^40+30x^41+26x^42+6x^43+1x^44+2x^45+1x^48 The gray image is a linear code over GF(2) with n=62, k=13 and d=22. This code was found by Heurico 1.10 in 1.05 seconds.