The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 X^2+X 1 X^2 1 1 1 X^2 1 1 1 1 1 X 1 X X 1 1 1 1 X^2 1 1 0 1 X^2 1 0 1 1 1 X X X^2 1 1 1 0 1 1 1 1 X 1 1 1 0 1 1 1 1 X^2 1 1 1 1 1 1 1 X 1 X 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 X^2+X 1 X^2+X 1 X^2+X+1 X^2+X+1 0 1 1 1 X^2 X+1 0 1 X+1 1 1 0 X^2+X 1 X^2+1 1 X+1 X 1 X^2+1 1 1 1 X+1 X X+1 1 1 1 X^2+1 X^2 X^2 1 X X^2+X 1 X^2 1 X+1 X^2+X X+1 1 X^2 X^2+1 X^2+X 1 1 X^2 0 X^2+X+1 0 0 0 X+1 1 X^2+X+1 X 0 0 X 0 X^2+X 0 X^2+X X^2 X X X X^2 0 0 X^2+X X X^2+X 0 X^2 X^2 X X^2 X X X 0 0 X X^2+X 0 0 X^2+X X^2 X X X 0 X^2 X^2+X X X^2 X^2 X^2+X X^2 X^2+X X^2 0 0 X X X 0 X^2 X^2 X^2 X^2 0 X^2 X X 0 X^2+X X^2+X X X^2+X X^2+X X^2+X X^2+X X^2 X^2 X^2 X^2 X X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 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 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 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 0 X^2 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 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+251x^68+44x^69+334x^70+200x^71+535x^72+212x^73+446x^74+112x^75+555x^76+212x^77+362x^78+200x^79+349x^80+44x^81+128x^82+69x^84+6x^86+14x^88+2x^90+13x^92+2x^94+4x^96+1x^104 The gray image is a linear code over GF(2) with n=300, k=12 and d=136. This code was found by Heurico 1.16 in 2.17 seconds.