The generator matrix 1 0 0 0 0 1 1 1 0 1 1 1 0 X 1 1 1 0 1 0 1 X 1 X X 1 0 1 0 0 X 1 0 1 X 1 1 0 X 1 X 1 X 1 0 1 1 X 0 X 1 1 1 0 1 0 0 0 0 0 0 0 1 X+1 1 1 1 1 X 1 1 0 1 X+1 0 X+1 0 1 X 1 X 1 1 0 1 0 X+1 X X 0 1 1 X 0 0 0 0 1 0 X 0 1 X X X+1 0 0 0 1 0 0 0 1 1 1 1 1 1 X+1 0 0 0 X X 1 X+1 X+1 1 X 1 X+1 X+1 X+1 0 0 1 0 1 1 X+1 0 0 X 0 0 X X 1 1 1 X+1 1 1 X X X 1 X 0 0 0 0 1 0 1 1 0 1 0 0 1 0 X X X+1 X+1 X+1 1 1 X+1 X+1 X+1 X X+1 0 X X X+1 0 1 X X 1 1 0 X+1 0 1 X+1 1 X 1 X 1 1 X+1 X 0 X X+1 X 0 0 0 0 0 1 1 0 1 1 0 1 1 X 1 X+1 X 0 X 1 0 X X 1 1 1 0 1 1 X+1 1 1 0 1 1 X 0 X+1 X+1 0 X+1 X+1 X+1 0 X 1 1 X 1 X 1 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X 0 0 X X X X X 0 0 X X 0 X 0 X X 0 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X X X 0 0 X X 0 0 0 0 X X 0 0 X X 0 0 X X X 0 0 X X X 0 X 0 X X X 0 0 0 X X 0 0 0 0 0 0 0 X 0 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 0 0 X X X X X 0 X 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X X X 0 0 0 X X X 0 0 0 X X X X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X 0 X X X X 0 X X 0 0 X X X 0 X X X 0 0 X 0 0 0 0 X 0 0 0 X X 0 X 0 0 X 0 0 generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+38x^39+90x^40+190x^41+350x^42+444x^43+634x^44+750x^45+1051x^46+1268x^47+1539x^48+1978x^49+1968x^50+2268x^51+2433x^52+2388x^53+2557x^54+2422x^55+2212x^56+1940x^57+1600x^58+1350x^59+982x^60+766x^61+549x^62+368x^63+250x^64+146x^65+96x^66+32x^67+45x^68+32x^69+19x^70+4x^72+2x^73+2x^74+2x^75+2x^76 The gray image is a linear code over GF(2) with n=106, k=15 and d=39. This code was found by Heurico 1.16 in 97.2 seconds.