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 X 0 X 0 0 X 0 X X a^2*X a^2*X a^2*X a^2*X a^2*X a^2*X 0 0 X X 0 0 X X a^2*X a^2*X 0 X a*X a^2*X 0 X a*X a^2*X 0 X a*X a^2*X 0 X a^2*X a*X a*X a*X 0 X a^2*X a*X a*X a*X 0 X a^2*X a*X a*X a*X 0 X a^2*X 0 X a^2*X a*X a*X a*X a*X 0 0 0 X X 0 X X X 0 0 X 0 a^2*X X a^2*X 0 a^2*X a^2*X X X a^2*X X 0 X a^2*X 0 0 X a^2*X 0 a^2*X X a*X a*X a*X a*X a*X a*X a*X a*X a*X a*X a*X a*X a^2*X X 0 0 X a^2*X a^2*X X 0 0 X a^2*X a^2*X X 0 0 X a^2*X a*X a*X 0 a^2*X X a*X 0 X a*X a^2*X 0 0 X a^2*X a*X X a^2*X a*X X 0 0 0 X X X a*X a^2*X 0 X 0 X a*X a*X a*X a^2*X 0 a*X a^2*X a*X a^2*X X a^2*X a^2*X 0 a^2*X 0 a^2*X X X a^2*X a*X a*X a*X X 0 a^2*X 0 X a*X a*X a*X a*X a^2*X a^2*X 0 X a^2*X X X a*X X a^2*X 0 a^2*X 0 0 0 a*X X a^2*X 0 a*X X 0 X a^2*X 0 X a*X X 0 0 generates a code of length 73 over F4[X]/(X^2) who´s minimum homogenous weight is 212. Homogenous weight enumerator: w(x)=1x^0+42x^212+276x^216+612x^220+72x^224+18x^228+3x^288 The gray image is a linear code over GF(4) with n=292, k=5 and d=212. This code was found by Heurico 1.16 in 0.063 seconds.