The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 X 1 1 1 1 X^2+X 1 0 1 1 1 X^2+X 1 1 0 0 1 1 1 0 1 1 X 1 1 1 X^2+X 0 X^2 1 1 1 1 1 X^2+X 1 X^2+X 1 1 0 1 1 X^2+X 1 0 X 1 1 X^2+X 1 1 1 X^2+X 1 1 1 1 X 1 1 0 1 1 0 X^2+X+1 1 X X+1 1 1 X^2+1 X^2+X X^2 X+1 1 X^2+1 1 X 0 X^2+X+1 1 1 X^2 1 1 X 1 X^2+X+1 1 X 0 1 X^2+1 X+1 1 1 1 1 X^2+X 0 1 X^2+X+1 0 1 X+1 1 X^2+X+1 X^2+1 1 X^2+1 X^2+1 1 X^2+X X 1 0 X^2 1 0 X^2+X+1 X+1 1 X^2+X X^2 0 X+1 X^2 X^2+X+1 0 0 0 X 0 X^2+X 0 0 0 X^2 X^2 X^2 0 X X X^2+X X X^2+X X X X^2+X X^2+X X^2 0 X^2 X X X^2+X 0 X X^2+X 0 X^2 0 X 0 X^2+X X X^2 X^2 0 0 X X^2 X 0 X^2 X^2+X X X X X^2 X^2+X X^2+X X X^2+X X X^2+X 0 X X^2 0 X^2 0 X X^2 0 X^2+X X^2 X 0 0 0 X 0 0 X X^2 X^2+X X 0 0 0 X X^2+X X^2+X X^2 X^2+X X X^2 X^2 X X X^2 X^2+X X^2 0 X X^2+X 0 X^2 X^2+X 0 0 0 X^2+X X^2 0 0 X^2 X X X^2+X X^2 X^2+X X X 0 X^2 X^2+X X^2 0 X^2+X X^2 0 X^2 X X X^2+X 0 X^2+X X^2 0 0 X^2+X X^2+X 0 X^2+X X^2+X 0 0 0 0 X^2 0 0 0 0 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 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 generates a code of length 69 over Z2[X]/(X^3) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+43x^60+150x^61+218x^62+344x^63+451x^64+494x^65+669x^66+690x^67+681x^68+760x^69+767x^70+728x^71+604x^72+512x^73+383x^74+238x^75+166x^76+114x^77+58x^78+32x^79+24x^80+18x^81+11x^82+14x^83+13x^84+3x^86+1x^90+2x^91+1x^92+2x^94 The gray image is a linear code over GF(2) with n=276, k=13 and d=120. This code was found by Heurico 1.16 in 4.85 seconds.