The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X^2 X X X^2 X^2 X^2 X^2 1 X 0 1 0 0 X^2 X^2 1 X 0 X 0 0 0 0 0 0 0 0 X^2 X X X^2+X 0 X^2+X X^2+X 0 X X^2 X^2+X X^2 X X X X^2 X 0 X X^2 X^2+X X X^2+X X^2+X X^2+X X^2+X X 0 X^2 0 X^2 X^2+X 0 X 0 X X 0 X X X^2 X 0 X^2 X X^2 X X^2 X^2 X 0 X^2 0 0 X 0 0 0 0 0 0 0 X^2+X X^2 X X X X 0 X 0 X X^2+X X^2 0 X^2+X X X X^2+X X^2+X X^2 0 X^2+X 0 X^2 X^2+X X 0 X^2 X^2+X X X^2 X^2 X^2+X X X^2+X 0 X^2 X^2+X X^2+X X^2 X^2 0 0 X 0 X 0 X^2+X X X^2 X^2+X X X^2 0 0 0 X 0 0 0 X X^2+X X X X^2+X 0 X X^2 0 X^2+X X^2+X X^2+X X^2 X^2+X X 0 X^2 0 X^2 X X X X^2 X 0 X^2+X 0 X X^2+X 0 X^2 X 0 X^2 X^2+X X^2+X 0 X 0 X X X^2 0 X X X^2 0 X^2 X 0 0 X X X^2+X X^2+X 0 0 0 0 X 0 X X X X^2 X X X X^2 X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X X^2+X X^2 X^2 X 0 X^2+X X^2 X^2+X X^2+X X X^2+X X 0 X^2+X X^2+X X^2+X X^2 X^2 0 X^2+X X^2 X X X X X^2 X^2+X 0 X^2+X X^2+X X^2 X 0 X^2 0 X X^2 0 X^2+X 0 0 0 0 0 0 X X X^2 X^2+X X^2+X X X X^2+X 0 X X^2 X^2 X^2 X^2+X X 0 X^2 X^2 0 X 0 X X^2 X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 X^2 X^2 X X^2 X^2 X^2+X X^2 X X^2 X X^2 0 X 0 X^2+X X^2 X X^2+X 0 X^2+X 0 0 X X X^2+X 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 generates a code of length 62 over Z2[X]/(X^3) who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+64x^51+178x^52+234x^53+323x^54+458x^55+398x^56+858x^57+469x^58+1758x^59+451x^60+2762x^61+480x^62+2790x^63+498x^64+1770x^65+476x^66+912x^67+351x^68+376x^69+222x^70+198x^71+139x^72+76x^73+74x^74+26x^75+32x^76+4x^77+2x^78+2x^79+1x^82+1x^94 The gray image is a linear code over GF(2) with n=248, k=14 and d=102. This code was found by Heurico 1.16 in 20 seconds.