The generator matrix 1 0 0 0 1 1 1 1 1 1 1 X X X^2 X^2+X 1 X^2 1 X^2 1 1 X^2 X^2 1 1 1 0 X 1 0 1 1 1 X^2+X 1 0 1 1 X 1 1 X^2 1 1 1 1 X 0 0 0 X^2+X 0 1 X^2 1 X^2+X X^2+X 1 1 X^2+X 1 X^2+X 1 1 1 X 1 1 1 X 1 0 1 0 0 X 1 X^2+X+1 X^2 X^2+X X^2+1 X+1 1 1 1 X X^2 1 X 1 X+1 X X^2 X^2+X 1 X^2+1 X^2+X+1 X^2+X 1 X 1 X+1 X^2+X 0 X^2+X X 1 X^2+X+1 1 1 X^2 X 0 X^2+1 X^2 X X^2+X+1 1 1 X^2+X 1 0 1 0 X^2+X X^2+X+1 1 X X^2+X 1 1 X^2+X 1 X^2+X X+1 X^2+X X 1 X^2+1 0 1 X^2+X 0 0 1 0 0 0 0 1 X^2+1 1 1 X+1 1 X 1 X^2 X X+1 X^2+X+1 X^2+X+1 X^2+1 1 1 X X^2+X+1 X^2 0 X X^2+X+1 1 X^2+X X X^2+1 1 X^2+X+1 X^2+1 0 1 X^2+1 X 0 X^2+X X^2+X+1 X^2 1 1 X^2+X 1 X^2+X X^2 1 0 X+1 1 X^2+X+1 X^2+X+1 X 0 X^2+X+1 X^2 X+1 1 X^2+X+1 0 1 1 0 1 X^2+X X+1 X^2+X 0 0 0 1 1 X^2+X+1 X^2+X X+1 0 X^2+X 1 1 X^2 X+1 1 X^2+1 X^2 X^2 X X+1 1 X+1 X 0 X X^2+1 1 X+1 X^2+X X+1 X^2 X^2 X^2+1 0 1 1 X^2+X+1 X^2+X+1 X^2+1 X+1 X^2 1 1 X X^2+X+1 X^2 X X^2+1 1 1 X^2+X+1 X X X^2+X 0 X^2+1 1 1 X^2 X^2 X^2+X X 1 X^2+X X^2+1 X 0 1 1 X^2+X+1 X^2 0 0 0 0 X^2 0 0 0 X^2 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 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+36x^61+498x^62+312x^63+1410x^64+620x^65+2662x^66+1120x^67+3499x^68+1292x^69+4288x^70+1440x^71+4192x^72+1324x^73+3806x^74+1072x^75+2293x^76+640x^77+1258x^78+264x^79+471x^80+56x^81+138x^82+16x^83+30x^84+20x^86+6x^88+2x^90+1x^92+1x^100 The gray image is a linear code over GF(2) with n=284, k=15 and d=122. This code was found by Heurico 1.16 in 47.8 seconds.