The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 1 X^2+X 0 1 1 0 1 1 X 1 1 1 X 1 1 X 1 1 1 0 1 1 X^2 0 1 X 1 X 1 X^2 1 1 X 1 1 X 1 X 1 1 X^2 1 X^2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 X 0 1 0 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 X^2+X X+1 1 1 0 X^2+1 1 X^2 X^2+X+1 1 X X^2+X+1 X 1 1 1 1 0 1 0 1 X^2 X+1 1 1 1 1 0 1 X+1 1 X X^2+X 1 0 X+1 1 X^2+X+1 1 1 X^2+1 1 0 1 X^2+X+1 X^2 X^2+1 X^2+X X+1 X^2+X X+1 0 X+1 X X+1 0 1 1 X^2 1 0 1 0 0 X 0 X^2+X 0 X^2+X X^2 X X X X^2 0 0 X^2 X^2 X^2 0 X^2+X X X^2+X X X 0 0 X^2 X^2 X^2+X X 0 X X^2 0 X^2+X 0 X^2+X X^2+X X^2+X X 0 X^2 X^2+X 0 X X^2+X X X^2 X^2 X^2+X X^2 X^2+X X^2 X X X^2+X X^2 X X^2 X^2 X^2+X 0 X^2 X^2+X X X X^2 0 X^2 X X X^2+X X^2+X X 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 generates a code of length 74 over Z2[X]/(X^3) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+41x^66+122x^67+186x^68+250x^69+301x^70+314x^71+354x^72+396x^73+348x^74+316x^75+326x^76+294x^77+275x^78+234x^79+128x^80+74x^81+47x^82+22x^83+20x^84+8x^85+7x^86+10x^87+4x^88+2x^89+2x^90+4x^91+4x^92+1x^94+2x^95+1x^96+2x^98 The gray image is a linear code over GF(2) with n=296, k=12 and d=132. This code was found by Heurico 1.16 in 1.24 seconds.