The generator matrix 1 0 1 1 1 X^3+X^2+X 1 1 X 1 1 X^3+X^2 1 1 X^3 1 1 X^2+X 1 1 X^2 1 1 X^3+X 1 1 0 1 1 X^3+X^2+X 1 1 X 1 1 X^3+X^2 1 1 1 1 X^3+X X^3 1 1 1 1 X^2 X^2+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 0 X^3 X^2+X X^2 X 0 X^2+X X^3+X^2+X X^3+X^2 X^3 0 1 X+1 X^3+X^2+X X^2+1 1 X X^2+X+1 1 X^3+X^2 X^3+1 1 X^3 X+1 1 X^2+X X^3+X^2+1 1 X^3+X X^3+X^2+X+1 1 X^2 1 1 0 X+1 1 X^3+X^2+X 1 1 X^3+X^2 X^3+X^2+X+1 1 X X^3+X^2+1 1 X^3 X^2+X X+1 X^2+1 1 1 X^2 X^3+X X^2+X+1 X^3+1 1 1 X^3 X^2+X X^2 X^3+X 0 X^3+X^2+X X^3+X^2 X X^3 X^2+X X^2 X^3+X 0 X^3+X^2+X X^3+X^2 X X^3+X+1 X^2+1 X^2+X+1 X^3+1 X^3+X+1 X^3+X^2+1 X^3+X^2+X+1 1 X^3+X+1 X^2+1 X^2+X+1 X^3+1 X^3+X+1 X^3+X^2+1 X^3+X^2+X+1 1 0 1 1 1 1 1 1 1 1 X 0 0 X^2 X^3+X^2 X^3 X^2 X^2 X^3+X^2 X^3+X^2 X^3 0 X^3 X^2 0 X^2 0 X^2 0 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^3 X^3 X^2 X^2 X^3+X^2 0 0 X^2 X^3+X^2 X^3+X^2 0 X^3+X^2 X^3 X^3+X^2 0 0 X^3+X^2 X^2 0 X^2 X^3 X^2 X^3 X^3 X^3+X^2 0 X^2 X^3+X^2 X^3 X^2 0 0 X^2 X^3 X^3+X^2 X^2 0 X^3+X^2 X^3 X^3 X^3+X^2 0 X^2 X^2 X^3 X^3+X^2 0 0 X^2 X^3 X^3+X^2 X^3+X^2 0 X^2 X^3 X^2 X^3 X^3+X^2 0 X^3 X^3+X^2 X^2 0 X^3+X^2 X^2 generates a code of length 90 over Z2[X]/(X^4) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+124x^88+192x^89+400x^90+192x^91+96x^92+16x^94+2x^112+1x^128 The gray image is a linear code over GF(2) with n=720, k=10 and d=352. This code was found by Heurico 1.16 in 0.656 seconds.