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 0 2 1 X 1 2 X 1 X X 0 1 X 1 X X 1 X 1 X 0 1 2 1 1 1 1 1 X 1 1 1 X 1 X 1 1 1 0 X 1 1 1 1 0 1 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X X 0 X X+2 0 X+2 X X 0 X+2 0 2 2 X 2 X 0 X 2 X X X+2 X 2 2 X+2 X 0 X X+2 2 X X X X 0 0 2 0 0 X 0 0 2 X+2 X+2 X+2 X+2 2 X 0 X 2 0 X+2 0 X X+2 2 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 X+2 X+2 2 2 0 X X X+2 0 2 X+2 0 X X+2 X X 2 X X 2 X 2 0 0 X 0 X+2 X+2 0 2 X 0 0 X 0 0 X+2 X 2 X+2 2 2 X+2 0 X X+2 2 X X+2 X+2 2 X 2 0 2 X 2 2 X+2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 0 2 0 2 0 2 0 2 0 0 2 0 0 2 2 0 0 2 2 0 0 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+157x^72+232x^74+28x^75+515x^76+80x^77+542x^78+240x^79+834x^80+432x^81+842x^82+488x^83+942x^84+432x^85+758x^86+240x^87+545x^88+80x^89+284x^90+28x^91+212x^92+122x^94+83x^96+34x^98+24x^100+2x^102+12x^104+2x^108+1x^124 The gray image is a code over GF(2) with n=332, k=13 and d=144. This code was found by Heurico 1.16 in 8.41 seconds.