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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 0 X^3 0 0 0 0 0 0 0 X^3 X^3 X^3 0 X^3 0 0 X^3 0 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 0 0 0 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 X^3 0 0 0 0 X^3 0 0 0 0 X^3 0 0 X^3 0 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 X^3 X^3 0 X^3 0 0 0 0 0 0 0 X^3 X^3 0 0 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 0 X^3 X^3 0 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 0 0 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 0 X^3 0 0 0 0 0 0 0 X^3 0 X^3 X^3 0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 0 0 X^3 X^3 0 0 X^3 0 0 X^3 0 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 0 0 0 0 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 generates a code of length 67 over Z2[X]/(X^4) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+62x^60+84x^64+384x^66+1024x^67+428x^68+12x^72+22x^76+30x^80+1x^128 The gray image is a linear code over GF(2) with n=536, k=11 and d=240. This code was found by Heurico 1.16 in 0.328 seconds.