The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 X 1 X 1 X X 1 1 1 X 1 1 X X 1 1 X 1 1 X X 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 0 0 0 0 0 X X X X X X X X X X X X X 0 X X 0 0 0 0 X 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 0 X X 0 X 0 X 0 X 0 X 0 X X X X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X 0 X X 0 0 X 0 0 X X 0 X 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X 0 0 0 X X 0 X 0 X X X 0 X 0 X X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 X X 0 X 0 X X X X 0 0 0 X X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X 0 0 X X X 0 X X 0 X 0 X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X 0 X 0 X 0 X X 0 0 X 0 X 0 X 0 0 0 X 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X 0 0 X 0 0 0 0 X X X X 0 0 X 0 X X X X X X 0 X 0 X 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 0 X X 0 X X 0 X 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X 0 0 X 0 0 0 0 X 0 X X 0 X 0 X 0 0 X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X X 0 0 X 0 X X X X X 0 X 0 X X X X 0 0 X X 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 X 0 0 0 X X X X 0 0 X X 0 0 X X X X 0 X X 0 X 0 0 X X X 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+159x^32+533x^36+24x^38+1115x^40+440x^42+2458x^44+1584x^46+3646x^48+1584x^50+2640x^52+440x^54+1142x^56+24x^58+414x^60+138x^64+35x^68+7x^72 The gray image is a linear code over GF(2) with n=96, k=14 and d=32. This code was found by Heurico 1.16 in 35.6 seconds.