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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X X^3+X^2 X 0 X X^3+X^2 X 0 X X^3+X^2 X 0 X X^3 X X^3+X^2 X X^2 X X 0 X X 1 0 X X^3+X^2 X^2+X 0 X^2+X X^3+X^2 X^3+X 0 X^2+X X^3+X X^3+X^2 0 X^2+X X^3+X^2 X 0 X^2+X X^3+X^2 X^3+X 0 X^2+X X^3+X^2 X 0 X^2+X X^3+X^2 X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X^3+X 0 X^2+X X^3+X^2 X^3+X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X X^2+X X X^3+X X X^2+X X X^3+X X X^2+X X X^3+X X X^2+X X X^3+X^2+X X X^3+X X X X X^3+X 0 X 0 0 0 0 0 X^3 0 0 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 0 0 X^3 X^3 0 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 0 0 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 0 X^3 0 0 generates a code of length 90 over Z2[X]/(X^4) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+49x^86+100x^87+110x^88+128x^89+235x^90+152x^91+79x^92+128x^93+34x^94+4x^95+1x^96+1x^108+1x^110+1x^130 The gray image is a linear code over GF(2) with n=720, k=10 and d=344. This code was found by Heurico 1.16 in 0.859 seconds.