The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 1 0 1 1 1 0 0 0 1 1 1 1 0 1 X 1 1 1 1 1 1 X 1 X 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 0 1 X+1 X+1 X+1 1 1 1 0 X+1 X X 1 1 1 0 X+1 0 X+1 X+1 X X 1 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X X 0 0 X 0 X 0 X 0 X 0 X X X 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 X X X X X 0 X 0 0 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 X 0 X X X 0 0 0 0 X X 0 0 X X X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 X X 0 X 0 X X 0 0 0 0 X X 0 X X X X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X X X 0 0 X X X X 0 0 X 0 0 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X X X 0 0 0 X X 0 X X X 0 X X 0 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X X X X X X X 0 0 0 X X 0 X 0 X 0 0 0 0 0 0 generates a code of length 39 over Z2[X]/(X^2) who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+49x^28+6x^29+57x^30+44x^31+206x^32+138x^33+203x^34+264x^35+222x^36+372x^37+256x^38+416x^39+322x^40+364x^41+273x^42+248x^43+173x^44+134x^45+161x^46+52x^47+47x^48+10x^49+66x^50+4x^52+6x^54+1x^58+1x^66 The gray image is a linear code over GF(2) with n=78, k=12 and d=28. This code was found by Heurico 1.16 in 1.31 seconds.