The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 X 0 1 1 X 1 0 0 X X 1 1 X 1 0 1 X 0 X 1 0 X 0 X 1 X 1 1 1 X 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X X 0 1 X X+1 1 0 X X 1 0 1 X 0 1 X 0 1 X X X 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 1 X+1 1 1 0 0 X+1 0 X+1 1 1 X 0 0 X+1 0 X+1 1 X X+1 1 1 X 1 X X X+1 X+1 0 X 1 1 1 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 X+1 X X+1 X+1 X+1 1 X+1 0 X X+1 X 0 1 X 1 1 1 0 1 X+1 X+1 0 0 0 X X+1 0 X X+1 0 X X+1 1 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X 1 X+1 X+1 X+1 0 1 1 X 0 X X X+1 X+1 X 1 0 X+1 0 0 X X 0 0 0 0 0 0 1 X 1 0 0 0 0 0 X 0 X X X 0 X X X 0 X 0 0 X 0 X 0 0 0 0 0 0 X X X X X 0 X X 0 X X X 0 X 0 X X 0 X 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 X X X X X 0 X 0 X X X 0 0 0 0 0 X 0 X X X X X 0 0 X X 0 0 0 0 generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+64x^37+144x^38+162x^39+202x^40+236x^41+274x^42+282x^43+293x^44+290x^45+254x^46+294x^47+300x^48+266x^49+237x^50+230x^51+181x^52+150x^53+101x^54+48x^55+45x^56+18x^57+13x^58+8x^59+2x^60+1x^62 The gray image is a linear code over GF(2) with n=92, k=12 and d=37. This code was found by Heurico 1.16 in 1.43 seconds.