The generator matrix 1 0 0 1 1 1 0 1 1 X 1 1 X 1 X 1 X^2 0 1 X^2 1 X^2+X 1 1 X X^2+X 1 X^2+X 1 X X X 1 1 1 1 1 1 1 X^2+X 0 1 1 1 1 1 1 0 1 X 0 1 0 0 1 1 1 X^2 X^2+X+1 1 X+1 X^2+X 1 1 X^2+X X^2 X^2+X 1 1 1 X X^2 X+1 X 1 1 0 1 X^2+X+1 X 1 1 0 X^2+X+1 X^2+X+1 0 1 X X^2+X 1 1 X^2+X+1 X^2+1 0 0 X^2+X+1 X^2+X 1 X^2+X X 0 0 1 X+1 X^2+X+1 0 X+1 X X^2+X X^2+1 X^2+1 X+1 X 1 1 X^2+1 1 X^2+1 X X^2+X X 1 X+1 X+1 X^2 X+1 X 1 0 1 X X^2 1 1 X^2+X X^2+X+1 1 0 0 X^2+1 X^2 X^2+X 1 X^2 X^2+X X^2 0 X^2+X+1 X^2+1 X 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+130x^44+124x^45+570x^46+192x^47+577x^48+224x^49+728x^50+204x^51+436x^52+140x^53+350x^54+104x^55+174x^56+24x^57+70x^58+12x^59+26x^60+8x^62+2x^66 The gray image is a linear code over GF(2) with n=200, k=12 and d=88. This code was found by Heurico 1.16 in 0.539 seconds.