The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X X^2 1 X 1 1 X 0 1 1 1 X 0 X X^2 X^2 1 X 1 0 X^2 0 1 X X X^2 X X 1 X^2 0 X 0 X 0 0 X X^2+X 0 0 X X^2+X X^2 0 X^2+X X^2+X X^2 X 0 X^2+X X 0 X^2 X^2+X X^2+X X X 0 X^2+X X^2+X X 0 0 X X X^2+X X^2+X X X X X X X^2 X^2 X 0 X^2+X X^2 X 0 0 X X 0 X^2+X X 0 0 X^2+X X 0 X X^2 X 0 X X X X^2 X X^2 X X^2+X X X 0 0 X^2 0 X X X^2+X X^2+X X 0 0 0 X^2 X^2 0 X X X^2+X X^2 X 0 X^2 X 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+112x^38+8x^39+341x^40+64x^41+639x^42+232x^43+1047x^44+512x^45+1622x^46+784x^47+2337x^48+896x^49+2415x^50+784x^51+1716x^52+512x^53+1060x^54+232x^55+572x^56+64x^57+253x^58+8x^59+111x^60+38x^62+12x^64+5x^66+6x^68+1x^72 The gray image is a linear code over GF(2) with n=196, k=14 and d=76. This code was found by Heurico 1.16 in 13.4 seconds.