The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 0 0 0 1 0 X X 1 1 0 1 1 0 1 1 1 1 X X X 0 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 1 1 0 X 0 0 X X+1 0 1 X 0 1 X+1 1 X 1 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 0 X+1 1 1 1 1 1 0 1 0 X X X X+1 1 X X 1 X+1 X+1 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X 0 X X 0 X X 0 0 0 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X X 0 0 0 X 0 0 0 X 0 X 0 0 X 0 0 X X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X 0 0 0 X X X 0 0 X 0 X X 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 0 X X X X X 0 X 0 X X 0 0 X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 0 0 0 X 0 X X X 0 X X X 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X 0 X X X X 0 X X X X 0 0 0 0 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 0 X 0 X X 0 0 X X X 0 X X 0 X 0 0 0 X 0 X 0 0 generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+174x^32+306x^34+790x^36+830x^38+1318x^40+1292x^42+1414x^44+884x^46+725x^48+258x^50+162x^52+14x^54+21x^56+2x^60+1x^72 The gray image is a linear code over GF(2) with n=84, k=13 and d=32. This code was found by Heurico 1.16 in 5.95 seconds.