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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 X^2+X X^2 X^3+X^2+X X^3+X^2 X X^2 X^2+X X^3 X^3+X X^3 X^3+X^2+X X^3+X^2 X^3+X 0 X^2+X X^3+X^2 X^3+X X^3 X^2+X X X^2 X^3+X^2 X^2+X X^3 X^3+X 0 X X^2 X^3+X^2+X X 0 0 X X^2 X^3+X^2+X X^2 X^3+X^2+X X 0 0 X X^3+X^2 X^3+X^2+X X^3+X^2 X^3+X^2+X X^2+X X^2+X 0 X^3+X^2 X X^3 X^3 X^3+X X 0 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2+X X^3+X X^3+X^2+X X^3+X^2+X X 0 X^2 X^3 X^2 X^3+X^2+X X^3+X 0 X^3 X^3+X^2 X^3 0 X^3 X^3+X^2+X X^3+X X^3+X^2+X X^2+X X^2+X X^3+X X X 0 X^3+X^2 0 0 X^3+X^2 0 X^2 X^2 0 X^2 X^3+X^2 0 X^2 0 0 X^3+X^2 0 X^3+X^2 X^3 X^3 X^3 X^3 X^2 X^3+X^2 X^2 X^3+X^2 X^2 X^3 X^3+X^2 X^3 X^3 X^3+X^2 X^3 X^2 X^2 0 X^3+X^2 X^3 X^3+X^2 X^2 0 X^3 X^2 X^3 X^3+X^2 0 X^3+X^2 X^3+X^2 X^3 0 0 X^3+X^2 0 X^2 X^3 X^2 X^3 0 X^3+X^2 X^2 X^3 X^2 0 X^2 X^3+X^2 X^3 0 X^3+X^2 0 X^2 X^3 X^2 X^3 X^2 X^3 0 X^2 X^3+X^2 X^2 X^3+X^2 X^3 X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3 X^2 X^2 X^2 0 0 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 0 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 0 X^3 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 0 0 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 generates a code of length 88 over Z2[X]/(X^4) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+268x^84+1510x^88+268x^92+1x^176 The gray image is a linear code over GF(2) with n=704, k=11 and d=336. This code was found by Heurico 1.16 in 6.97 seconds.