The generator matrix 1 0 0 0 1 1 1 X 1 a^2*X 1 1 1 1 1 a^2*X 1 1 1 X 1 a^2*X 1 1 1 0 1 0 0 X 1 X+1 1 a*X 1 a^2*X+a X+a^2 a^2 a*X+1 a*X+a 1 0 X+1 a*X+1 1 X 1 a^2*X+a^2 a*X+1 a*X 0 0 1 0 a^2*X+1 1 a^2*X a^2*X+1 X+1 a^2*X+a a^2*X+a^2 X a^2*X+a^2 X+a a*X X+a a^2*X+a a X+1 a*X+1 a*X+a^2 a^2*X+1 a*X+1 a^2*X+1 a^2*X+a 0 0 0 1 a^2 X a*X+a^2 a*X+a^2 a a^2*X X+a a^2*X+a^2 a^2*X+1 a*X+1 1 a a*X a^2*X a^2 a^2*X+1 a*X+a a*X a^2*X+1 a^2*X+a X generates a code of length 25 over F4[X]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+468x^63+438x^64+324x^65+732x^66+2556x^67+1815x^68+924x^69+1728x^70+5844x^71+4365x^72+2148x^73+3528x^74+9732x^75+6852x^76+3156x^77+3648x^78+8808x^79+4080x^80+1128x^81+1116x^82+1776x^83+351x^84+9x^88+6x^92+3x^96 The gray image is a linear code over GF(4) with n=100, k=8 and d=63. This code was found by Heurico 1.16 in 5.25 seconds.