The generator matrix 1 0 1 1 1 X^2 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 X^2 1 1 1 X^2+X 1 1 1 X 0 1 1 1 1 X X 1 1 0 X X^2+X X X^2 X 1 X 0 1 1 0 1 1 X^2 X+1 1 1 X^2 X^2+X+1 X^2 1 X^2+1 X+1 X^2 1 X+1 X 1 0 1 1 X^2+X X^2+X+1 1 X+1 X^2+1 0 1 1 X+1 X+1 X+1 X^2+X+1 1 1 X X 1 1 1 0 1 1 X 1 0 0 X 0 0 0 0 X^2 X^2+X X X^2+X X^2+X X^2+X X^2 0 X X^2+X X 0 X 0 X^2 X X^2+X X^2+X X X^2 X^2 X^2 X^2+X 0 X X^2 X^2+X X^2 X^2 X^2+X X X^2 X^2 X^2+X X^2+X 0 X^2 X 0 0 0 0 0 0 X 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2+X X X X X^2+X X^2+X X X X^2+X X^2+X X^2+X X^2 X^2 0 X^2 X X 0 X X X X^2 0 0 0 0 0 X^2+X X^2+X X^2+X X X^2+X X^2+X X X^2 0 0 0 0 X X^2+X X^2+X X^2 X 0 0 X^2+X X X X X X^2 0 0 X^2+X X^2 X^2+X X^2 X^2 X^2 0 X^2 0 0 X^2+X X^2+X X^2+X X X X 0 X X^2+X X^2 0 X X^2 X^2 0 X^2+X X X X^2+X generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+196x^42+112x^43+402x^44+304x^45+488x^46+356x^47+487x^48+368x^49+468x^50+264x^51+288x^52+128x^53+130x^54+4x^55+55x^56+28x^58+13x^60+2x^62+1x^64+1x^68 The gray image is a linear code over GF(2) with n=192, k=12 and d=84. This code was found by Heurico 1.16 in 21.2 seconds.