The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 X X 1 1 X 1 X 1 X X X X 1 X X 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X X X X X 0 X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X X X 0 X 0 0 X X X 0 0 X X X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X 0 0 X 0 X 0 0 X X 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X X 0 0 0 0 X 0 X 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X 0 X 0 0 X 0 X 0 0 X X 0 X 0 0 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X 0 0 X X X 0 X 0 0 X 0 0 0 0 X X 0 X X X 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X 0 X X 0 0 0 X X 0 0 X 0 0 X X 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 0 X X X X X 0 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 X X 0 0 0 X X 0 0 0 X 0 X 0 X X 0 X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X 0 X 0 X 0 X X X X 0 X X 0 X 0 0 X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X X 0 0 0 0 X 0 X 0 X X 0 0 X X X 0 0 0 X 0 0 0 X 0 X X 0 0 generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+101x^32+297x^36+10x^38+589x^40+230x^42+1173x^44+772x^46+1757x^48+812x^50+1295x^52+210x^54+575x^56+14x^58+249x^60+77x^64+24x^68+4x^72+2x^76 The gray image is a linear code over GF(2) with n=96, k=13 and d=32. This code was found by Heurico 1.16 in 16.8 seconds.