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 1 1 1 1 0 X^3+X^2 0 X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 X^2 X^3+X^2 0 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 X^3 X^2 X^2 X^3 X^2 X^3 X^2 X^2 0 X^3 X^3+X^2 0 X^3+X^2 X^3 X^2 X^3 0 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3 X^2 0 X^2 0 X^3+X^2 0 X^3 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^2 X^3 0 0 X^2 X^2 X^2 X^2 X^3 0 0 X^3 X^3 X^3+X^2 X^2 X^2 0 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^3+X^2 0 0 X^3+X^2 X^2 0 X^3+X^2 X^2 0 X^3+X^2 0 X^2 0 0 X^2 0 X^3+X^2 X^3+X^2 0 X^2 0 0 X^3+X^2 X^2 0 X^3 X^2 0 X^3+X^2 X^3 0 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^3 0 X^2 X^3 X^2 X^2 X^3 0 X^3+X^2 X^3 0 X^3+X^2 X^2 X^3 X^2 X^3+X^2 0 X^3+X^2 X^3 X^2 X^3 X^3 X^2 X^2 X^3 X^2 X^2 X^2 X^2 X^3 0 X^2 X^2 X^2 0 X^3+X^2 X^2 X^3+X^2 X^2 0 X^3 X^3 0 X^3+X^2 0 X^3 X^3+X^2 X^3 X^2 X^3+X^2 X^2 0 X^3 0 0 0 X^3 0 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 X^3 X^3 0 0 0 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 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 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 0 0 0 X^3 X^3 0 0 X^3 0 0 X^3 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 X^3 X^3 0 0 0 0 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 0 X^3 0 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 0 X^3 0 0 0 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 generates a code of length 92 over Z2[X]/(X^4) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+223x^88+1600x^92+223x^96+1x^184 The gray image is a linear code over GF(2) with n=736, k=11 and d=352. This code was found by Heurico 1.16 in 14.6 seconds.