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 X 1 1 1 X X 1 1 1 1 X 0 X 0 0 0 0 X X X a*X 0 X a^2*X X a^2*X a^2*X a^2*X a*X X a^2*X 0 a^2*X a*X X 0 a*X X 0 0 a^2*X a^2*X a^2*X a^2*X 0 a*X a*X a*X 0 a^2*X a*X a*X 0 a*X a^2*X 0 a*X X X 0 X X X a*X X 0 X X a^2*X a^2*X X 0 a*X a*X a^2*X a*X a^2*X a*X a^2*X a^2*X X a*X a^2*X X X 0 X a^2*X a*X a*X X 0 0 a*X X X a*X X X a*X X 0 0 X 0 0 X a^2*X a*X a*X a*X 0 0 a*X X 0 0 a^2*X 0 a*X a*X a*X a*X a^2*X a^2*X X X 0 a^2*X X a^2*X 0 a^2*X a*X a*X X 0 0 a^2*X 0 0 a*X a*X X a*X X X X X a*X a^2*X a*X a^2*X a^2*X a*X a*X X X 0 a*X 0 a^2*X X a^2*X X a^2*X X a*X X X 0 a*X a^2*X a*X a*X a^2*X X 0 a^2*X a^2*X 0 a^2*X a*X 0 a*X 0 0 0 a^2*X a*X X 0 0 0 X 0 a^2*X 0 X a*X a^2*X X X X X 0 a*X 0 a*X 0 a^2*X a^2*X X X a^2*X a^2*X a^2*X a*X a^2*X 0 a*X a*X a*X a^2*X a*X X a^2*X X X a^2*X a^2*X a*X 0 a^2*X 0 a*X X X 0 a*X 0 a*X a*X a*X 0 X X a*X a^2*X 0 X a^2*X a*X X a^2*X a^2*X 0 a*X a*X 0 a*X 0 X 0 X a^2*X a*X a^2*X a^2*X 0 0 0 X 0 a^2*X a*X a*X a^2*X 0 X X 0 0 0 0 X X X a^2*X X X X a*X 0 a*X X a^2*X a^2*X a*X a*X 0 a*X a^2*X a^2*X a^2*X a^2*X a^2*X a*X a*X a*X 0 0 X X a*X a^2*X X X 0 a*X a*X a^2*X X X X a*X 0 a^2*X 0 a^2*X a^2*X 0 a*X 0 a^2*X a^2*X X 0 0 a*X 0 0 0 X a^2*X a^2*X X a*X a^2*X a*X 0 a^2*X 0 X 0 a^2*X X X 0 X X a^2*X X X a^2*X a^2*X 0 a^2*X 0 X X generates a code of length 90 over F4[X]/(X^2) who´s minimum homogenous weight is 256. Homogenous weight enumerator: w(x)=1x^0+267x^256+12x^258+144x^262+264x^264+648x^266+1296x^270+240x^272+972x^274+105x^280+57x^288+42x^296+24x^304+18x^312+3x^320+3x^344 The gray image is a linear code over GF(4) with n=360, k=6 and d=256. This code was found by Heurico 1.16 in 99.1 seconds.