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 2 1 1 1 1 1 1 1 X 1 0 1 1 1 1 1 1 1 1 1 1 X X X 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 X+2 0 X+2 0 2 X 0 X+2 X 2 0 X+2 2 X 0 X+2 X 2 X+2 0 0 X+2 2 X 2 X X+2 0 X+2 0 X 2 X 2 0 X+2 0 X+2 0 X+2 2 X 0 X+2 2 X+2 2 X+2 X 0 0 0 2 X+2 0 X 2 2 2 X+2 X 0 2 X+2 X 2 2 X+2 X+2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 2 2 2 2 2 0 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 0 2 0 0 2 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+21x^74+20x^75+44x^76+54x^77+50x^78+126x^79+27x^80+428x^81+24x^82+82x^83+30x^84+12x^85+21x^86+18x^87+12x^88+12x^89+11x^90+10x^91+14x^92+6x^93+1x^150 The gray image is a code over GF(2) with n=324, k=10 and d=148. This code was found by Heurico 1.16 in 0.472 seconds.