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 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 X^2 1 X 1 1 0 X^3+X^2 0 0 0 X^2 X^3+X^2 X^2 0 0 0 X^3 X^2 X^2 X^3+X^2 X^2 X^3 X^2 X^2 0 X^3 X^3 X^3+X^2 X^2 0 X^3 0 X^3 X^2 X^3+X^2 X^2 X^3+X^2 X^3 X^3 X^2 X^3 X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^2 X^2 X^3 0 X^3+X^2 X^3 X^2 0 X^3 X^3+X^2 X^2 X^2 X^3 X^2 X^3 X^3+X^2 0 X^3 X^3+X^2 0 X^3 X^3+X^2 0 X^3+X^2 0 X^3 X^2 X^3+X^2 X^2 X^2 X^2 X^2 X^3+X^2 0 0 X^2 X^3+X^2 X^3 0 X^2 X^3+X^2 0 X^3+X^2 X^2 X^2 0 0 0 X^3+X^2 0 X^2 X^2 X^3+X^2 0 X^2 0 0 X^2 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 0 X^3 0 X^2 X^3+X^2 X^3 X^3+X^2 X^2 0 X^3 0 X^2 X^3 X^2 X^3 X^2 X^2 X^3+X^2 X^3+X^2 0 0 0 X^3+X^2 X^3 X^3 X^3 X^3+X^2 X^2 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 0 0 X^3 X^3+X^2 0 X^3+X^2 0 X^3+X^2 X^3 X^2 0 X^3+X^2 X^3 0 X^3+X^2 X^3 X^3+X^2 X^2 0 X^3 0 X^2 X^2 X^3 0 0 X^2 X^3 0 X^3 X^2 X^2 X^3 0 X^2 X^2 X^3 X^3 0 0 0 0 X^3+X^2 X^2 0 X^3+X^2 X^2 X^2 0 X^3+X^2 0 X^3 X^2 0 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^2 X^3 X^2 0 X^3 X^2 0 X^3 X^2 0 0 X^2 X^2 0 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^3 X^3+X^2 0 X^2 X^3+X^2 X^3 X^3 0 0 X^3+X^2 0 0 X^2 X^3+X^2 0 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^2 X^2 X^2 X^3+X^2 0 X^2 X^2 X^3 0 0 X^3 X^3 0 X^3 X^2 X^2 X^3+X^2 X^3+X^2 0 X^3+X^2 X^2 X^2 X^2 X^3+X^2 0 0 0 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 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 0 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 0 X^3 0 0 0 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 0 0 0 X^3 X^3 0 0 0 X^3 0 0 X^3 generates a code of length 90 over Z2[X]/(X^4) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+52x^84+104x^86+16x^87+212x^88+368x^89+568x^90+368x^91+203x^92+16x^93+68x^94+55x^96+8x^98+4x^100+4x^102+1x^172 The gray image is a linear code over GF(2) with n=720, k=11 and d=336. This code was found by Heurico 1.16 in 1 seconds.