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 X X X X X X X X X X X X X X X X 1 1 1 1 1 X X X X X X X X 1 1 1 X X X X X X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X^3 0 0 0 0 0 0 0 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 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 X^3 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 0 0 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 0 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 0 X^3 X^3 0 0 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 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 X^3 X^3 0 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 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 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0 0 X^3 X^3 0 0 0 X^3 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 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 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 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 0 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 0 0 X^3 X^3 0 0 0 X^3 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 0 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0 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 X^3 0 0 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 0 0 X^3 0 0 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+53x^88+414x^90+35x^92+6x^96+1x^116+2x^122 The gray image is a linear code over GF(2) with n=720, k=9 and d=352. This code was found by Heurico 1.16 in 0.531 seconds.