The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 X 1 1 0 1 1 0 1 1 X 1 1 0 X 1 X 1 X 0 X 0 1 1 1 X 1 1 0 X 0 1 0 1 1 0 1 1 0 X+1 1 0 1 X+1 0 X+1 1 X X+1 1 0 X+1 1 0 X+1 1 X X+1 1 0 X+1 1 X X 1 1 1 1 0 1 0 1 1 X 0 X X X 0 1 0 0 X 0 0 0 0 0 X X 0 0 X X X X 0 X 0 X 0 0 X 0 X 0 X X 0 X X X 0 0 0 0 X X X 0 0 0 X 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X X 0 X 0 0 0 X X X X 0 0 0 X X 0 X 0 0 0 X X X 0 X X X 0 X X X X 0 0 0 0 X 0 0 0 0 X 0 0 X 0 0 0 X X X X 0 0 X X 0 X X X X X 0 0 X X 0 X 0 0 X 0 X 0 X 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 X X X X 0 X 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 X 0 X X 0 0 X X X 0 X X X 0 generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+75x^44+34x^46+58x^48+28x^50+39x^52+2x^54+16x^56+1x^60+1x^64+1x^84 The gray image is a linear code over GF(2) with n=96, k=8 and d=44. This code was found by Heurico 1.16 in 0.015 seconds.