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 X 0 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 0 1 X 0 X 1 1 0 0 X 1 0 2 1 0 2 1 X 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 0 X+2 2 X 0 X 2 X+2 X+2 X 0 2 0 X+2 2 X 0 X+2 0 X+2 X X+2 0 X+2 X+2 0 X+2 0 X+2 2 X+2 2 X 2 X X X+2 X+2 0 X 0 0 2 X+2 X+2 2 2 X 0 0 X X+2 2 0 X X X+2 2 X X 2 X X X X+2 X+2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 0 0 0 2 0 2 0 2 0 2 0 0 0 2 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+36x^74+36x^75+81x^76+72x^77+116x^78+94x^79+149x^80+174x^81+149x^82+262x^83+145x^84+190x^85+148x^86+106x^87+92x^88+58x^89+42x^90+14x^91+31x^92+18x^93+12x^94+4x^96+5x^98+7x^100+3x^102+2x^104+1x^134 The gray image is a code over GF(2) with n=332, k=11 and d=148. This code was found by Heurico 1.16 in 0.878 seconds.