The generator matrix 1 0 0 1 1 1 X 1 1 1 1 0 X 0 1 1 X 1 X 0 1 1 1 0 1 X 0 1 X 0 1 1 1 1 0 1 1 0 0 X X 0 X 1 1 1 X 0 1 1 X X 1 1 0 1 0 0 1 1 1 0 X X+1 1 1 1 X 0 1 1 X+1 X 1 0 0 X+1 1 X+1 1 0 X+1 1 0 X X X X 0 0 1 1 1 1 0 1 1 X+1 X 0 X 1 1 X 1 1 1 X 0 0 1 1 1 0 1 X X+1 X X+1 X 1 1 X 1 X+1 0 1 0 X+1 X+1 0 1 0 X+1 1 1 X 1 X+1 1 X+1 1 1 X+1 X+1 X+1 X+1 0 1 X 1 0 X+1 X 1 0 1 0 X 1 X+1 1 0 0 0 X 0 0 0 0 0 X X X 0 X 0 X X 0 X 0 0 X X X X 0 X 0 X 0 0 X X 0 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 0 0 X 0 0 0 0 0 X 0 0 X X 0 0 X X 0 0 X X X 0 X X 0 X 0 0 0 X 0 0 0 X X X 0 X 0 X X X 0 0 0 X 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X X X X 0 0 X X 0 0 X X X 0 X X X 0 X X X 0 X 0 0 0 X 0 0 0 X X 0 X 0 X X X X X generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+26x^48+46x^49+51x^50+64x^51+51x^52+42x^53+37x^54+32x^55+28x^56+30x^57+18x^58+16x^59+16x^60+6x^61+12x^62+8x^63+5x^64+4x^65+7x^66+8x^67+1x^68+3x^70 The gray image is a linear code over GF(2) with n=108, k=9 and d=48. This code was found by Heurico 1.16 in 0.0517 seconds.