The generator matrix 1 0 1 1 1 X^2 1 1 0 1 1 0 0 1 1 1 1 X^2 X^2 1 1 1 1 0 0 X^2+X X^2+X X X X^2 X^2+X X X^2+X X^2+X X 1 1 1 1 1 1 X X X X 0 X X 0 1 1 0 X+1 1 X^2+X+1 0 1 X^2 1 1 1 X+1 X^2+X 1 X^2+X 1 1 X X+1 X^2+X X^2+1 1 1 1 1 1 1 X 1 1 1 1 1 X^2 X^2 X^2+X+1 X^2+X+1 X^2+X+1 0 1 1 1 1 1 X X^2 0 0 X 0 0 0 0 X^2+X X^2+X X^2+X X X^2+X X^2 X^2+X X X^2 X^2 X^2+X X X X^2+X X^2 X^2 X^2+X X^2 X X^2+X 0 X^2 X 0 0 X^2+X X^2 X^2 X 0 X^2 X X^2+X X^2 0 X X^2 X^2+X X^2 X X 0 0 0 X X^2 X^2+X X^2+X X^2+X X^2+X X^2 X 0 0 X X^2+X X^2 0 X X^2 X^2 0 X X^2+X X^2 X X X^2+X X X 0 0 X^2 X X^2 0 X X^2 X^2+X X^2 X^2+X X X^2+X X X^2 X^2 X^2 X^2 X^2+X generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+142x^44+128x^45+136x^46+72x^47+137x^48+84x^49+100x^50+68x^51+70x^52+28x^53+36x^54+4x^55+10x^56+6x^60+2x^68 The gray image is a linear code over GF(2) with n=192, k=10 and d=88. This code was found by Heurico 1.16 in 0.0753 seconds.