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 X 1 1 X 1 X X 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 X X X X X X X X^2 X X X X 0 X X X X^2 X X^2 X X^2 X^2 X 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 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 X^3 0 X^2 X^3 X^3+X^2 X^3 X^3 X^3 X^3+X^2 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^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^2 X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3 0 0 X^3 X^3 X^3 X^2 X^3 X^2 X^3+X^2 0 X^2 0 X^2 X^3+X^2 0 0 0 X^3+X^2 X^2 0 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 0 X^3+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^3 X^2 X^3+X^2 X^3 X^3 X^2 X^2 X^3+X^2 X^2 X^3 X^2 X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^3+X^2 X^2 0 0 X^2 X^2 X^3 0 X^3+X^2 X^2 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 X^3 X^2 X^3+X^2 X^2 X^3 0 X^2 X^2 X^3 X^3 0 X^3 X^2 X^3 X^2 X^2 0 0 0 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 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 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 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 0 X^3 0 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 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 0 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 0 0 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 0 0 0 0 X^3 0 0 X^3 0 X^3 0 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+102x^88+40x^89+200x^90+64x^91+200x^92+144x^93+160x^94+64x^96+8x^97+24x^98+14x^100+2x^108+1x^128 The gray image is a linear code over GF(2) with n=736, k=10 and d=352. This code was found by Heurico 1.16 in 0.953 seconds.