The generator matrix 1 0 0 0 1 1 1 1 X^3+X^2 1 X^2+X 1 X^3 0 1 X^3+X 1 1 1 1 X^3+X 1 X X^3 X^3+X^2 X^2+X 1 1 1 X^2 X 1 1 1 1 X^3 X^3 X^3+X^2+X X^2+X 1 1 1 X^3+X 1 1 0 X^3+X^2+X X 1 1 1 X^2+X X^2+X 1 1 1 1 X^3 1 0 1 0 0 X X^2+1 X^3+1 X^2 1 X^3+X+1 1 X^3+X^2+X 1 X X^3+X+1 1 X+1 X^3+X^2+X X^3+X^2+1 X^2+1 1 X^3+1 X^2+X X^2 X^3+X^2+X 1 X^2+X X^3+X^2 X^2+X 1 X^3+X X^3+X+1 X X^2 X^3+X^2+1 X^2+X 1 0 1 X^2+X X+1 X^3+X^2+X 1 X^3+X^2+X+1 X^3+X^2+X X^3+X 1 X^2 X^3+X X+1 X^2+X+1 X^3+X^2+X 1 X^3 X^3+1 X+1 X^3 1 X^3+X^2+X 0 0 1 0 0 X^2 1 X^2+1 1 X^2+1 X^2+X+1 X^3+1 X^2+X 1 X^2+X X^2+1 X+1 X^3+X^2+X+1 X^3+X^2+X X+1 X^3+1 X^2+X 1 1 X^3+X^2 X^3 X^3+X^2+1 X^3+X X^2 X^3 X^2 X^3+X^2+1 X^3+X^2+X+1 X^3+X^2 X^2 1 X^2+1 1 0 X^3+1 X^2+X+1 X^2 X^2+X+1 X^3+X^2+X X^3+X^2+1 1 X+1 1 X X^3+X^2+X+1 X 1 X^2+1 X X^3+1 0 X^2+X 0 X^3+X^2 0 0 0 1 1 X^2+X+1 X^2 X^3+X^2+X+1 X^2+X+1 X^2+1 0 X^3+X X+1 X^3+X+1 X^3 X^3+X^2+X+1 X^2 X^3+X X^2+1 X^2+1 0 X^2+X 0 X^3+X^2+X+1 1 X X+1 X^3+X^2+X+1 X^2+X X^3+X^2+X+1 1 X^2+X X^3+X^2 X^2+X X^3+X^2+X X^3+X^2+1 X^3+X^2+1 X^3+X^2 1 0 X+1 X^3+X^2 X^3+X X^3+X^2+1 X^3+1 X^3+X+1 X^3+X^2+1 X^2+1 X^2+1 X^3+X^2 X^2+X+1 X^3+X X^3+X X^3+X^2+X+1 X^3+X^2+X X^3+X^2+X+1 X^3+X^2 X^3+X^2+1 X^2+1 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^3+X^2 X^3+X^2 X^2 X^3 X^3+X^2 0 X^3 X^3 X^2 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^3+X^2 0 X^2 X^3+X^2 X^3 X^2 X^2 X^3 0 X^2 X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^3+X^2 0 X^3 0 X^3+X^2 0 X^2 X^3+X^2 X^3 0 X^2 X^3+X^2 X^3 X^3 X^3 generates a code of length 59 over Z2[X]/(X^4) who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+340x^51+1458x^52+3824x^53+7585x^54+13008x^55+20586x^56+27978x^57+36232x^58+38690x^59+37877x^60+28220x^61+21164x^62+13138x^63+6610x^64+3148x^65+1398x^66+552x^67+179x^68+92x^69+19x^70+28x^71+7x^72+2x^73+2x^74+2x^75+2x^76+2x^79 The gray image is a linear code over GF(2) with n=472, k=18 and d=204. This code was found by Heurico 1.16 in 474 seconds.