The generator matrix 1 0 0 0 0 1 1 1 1 1 1 2 1 X 2 2 X+2 1 1 X 1 1 0 1 1 X+2 1 X 1 X+2 0 1 1 1 0 1 X 2 X+2 1 X+2 1 1 X 1 1 1 1 X+2 2 1 X+2 X+2 1 X 1 X+2 X 1 1 1 1 X+2 2 1 X+2 X 1 0 2 1 0 1 1 1 X 1 2 1 0 0 0 1 0 X+2 2 1 1 2 1 1 0 1 0 0 0 0 2 2 0 3 1 1 X+3 1 1 X X+2 X+2 1 1 X+1 X+3 1 1 3 X+2 X+2 X X 1 1 X+2 X+3 2 1 0 1 X 0 1 1 3 1 X+2 0 0 3 X X+2 1 X 0 1 3 0 1 1 2 0 X+1 X+2 2 2 2 X+1 1 1 X+1 2 X X 1 1 1 0 1 X+1 2 X+3 1 1 2 0 X 2 1 X+2 2 X+2 X+2 0 0 0 1 0 0 0 3 X+1 1 1 X+3 X 2 3 3 1 1 X+1 0 X+1 1 X+2 3 X+1 X X X+2 1 0 0 0 X+3 2 X 0 X+2 X+3 X+2 X+2 3 1 X+1 X+3 1 X+1 3 2 3 1 X+3 X+2 1 1 1 0 0 2 1 X+2 X+3 3 X 0 1 3 X+1 X+2 X 0 2 X+3 2 3 X+2 0 3 X+2 1 X+3 3 X 1 1 1 1 X+1 X+1 X+1 X X 0 0 0 0 1 0 1 1 X X X+2 X+3 1 3 0 X+1 1 X X+3 3 1 0 X+2 X 3 0 1 1 3 2 1 X+2 3 3 3 2 0 0 2 1 1 X+3 X X+3 X 2 X+1 X+2 X 1 1 X+1 1 2 0 2 3 X+3 3 X+2 X+3 3 2 1 1 1 X+3 X 2 1 X+2 3 X+1 X 3 X+3 2 X+2 X 3 X+2 X+1 0 X+3 X+3 X X+3 3 2 1 0 0 0 0 0 0 1 1 2 0 X+1 2 X+3 X+3 1 X+3 X+1 X 3 1 X+2 X+2 X+3 X+1 X+2 2 2 X+1 0 1 3 0 1 X+2 2 X+1 X+3 1 1 1 X+2 X X+2 0 1 0 X+3 2 1 X 1 3 X+1 X 0 1 1 2 0 X+3 2 0 X+3 X+3 X X 2 2 X+2 1 1 1 X+2 3 3 2 0 3 X X+1 1 X+2 1 1 X+3 1 3 X+3 0 1 X+1 1 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 X+2 X X X X X+2 X+2 X X+2 X X X X+2 X X X+2 X+2 X X+2 X+2 X+2 X X+2 X+2 2 X+2 X+2 X+2 X+2 X X+2 0 X+2 X 2 X 2 2 X X X 2 X 2 X+2 X 0 X 2 0 generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+96x^78+380x^79+927x^80+1466x^81+2221x^82+3254x^83+4123x^84+5194x^85+6528x^86+7560x^87+8318x^88+9230x^89+10193x^90+10666x^91+10717x^92+10200x^93+9064x^94+7798x^95+6434x^96+5182x^97+3809x^98+2660x^99+2021x^100+1362x^101+668x^102+398x^103+256x^104+122x^105+103x^106+52x^107+35x^108+12x^109+20x^110+2x^114 The gray image is a code over GF(2) with n=364, k=17 and d=156. This code was found by Heurico 1.13 in 330 seconds.