The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X 0 X 0 1 1 1 1 1 0 1 1 1 0 1 X 1 1 X 0 1 X X X 1 X 0 1 0 0 0 1 1 1 X 0 X+1 X+1 1 1 X 1 1 X 0 1 X 1 X X X+1 1 1 0 0 X 0 1 X+1 X 1 0 X X X X 1 X 0 0 1 0 1 1 0 1 0 X+1 X+1 X X X+1 1 X X 1 0 X+1 1 X 0 0 0 1 1 X+1 0 X 1 0 X+1 X 0 1 X+1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 X X+1 0 X+1 1 1 X+1 1 X+1 X+1 1 X+1 X 0 0 X+1 0 0 1 X X 0 X 1 X+1 1 1 0 X 0 1 0 0 0 0 X 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 0 X X 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X X 0 X X 0 0 X X X X 0 X 0 X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X X X X 0 X X 0 X 0 0 X X 0 X 0 0 X X X X 0 X X 0 0 0 0 0 0 0 X X X 0 X X X X X 0 X X 0 X X X 0 X 0 0 X X X X X 0 0 0 X 0 0 0 0 X 0 generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+40x^33+119x^34+160x^35+226x^36+232x^37+242x^38+268x^39+290x^40+322x^41+305x^42+322x^43+306x^44+306x^45+254x^46+218x^47+167x^48+110x^49+91x^50+54x^51+28x^52+14x^53+8x^54+2x^55+6x^56+5x^58 The gray image is a linear code over GF(2) with n=84, k=12 and d=33. This code was found by Heurico 1.16 in 1.28 seconds.