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 2 0 1 1 1 1 0 1 X 1 X 1 X 1 1 0 1 X 1 X 1 1 0 0 1 1 X 1 2 0 1 X 1 0 X 0 X 0 0 X X+2 0 2 X X+2 0 X+2 2 X+2 X 0 2 X 2 X+2 0 X+2 0 2 X X 2 0 X X 0 2 X X+2 0 2 0 0 X X X+2 X X+2 0 X+2 X X 2 X X 0 0 X+2 2 2 2 0 X+2 X+2 2 0 X+2 X X+2 X X X+2 0 X X 2 X+2 0 2 2 X X 0 0 0 X X 0 X+2 X 0 2 X X 0 2 X+2 X 2 X 0 X+2 0 0 2 X+2 X 0 X X 2 0 X+2 X+2 2 0 X X 0 0 X+2 X+2 2 X 2 X+2 X+2 0 X 2 X+2 2 X X 0 X+2 X 0 X 2 X X 0 2 2 X 2 X+2 2 X+2 2 2 X 0 0 X+2 X+2 X+2 X X 0 X+2 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 2 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+45x^72+70x^73+116x^74+66x^75+181x^76+82x^77+275x^78+56x^79+342x^80+76x^81+293x^82+32x^83+137x^84+48x^85+52x^86+32x^87+51x^88+38x^89+20x^90+6x^91+9x^92+6x^93+9x^94+1x^96+2x^98+1x^100+1x^130 The gray image is a code over GF(2) with n=320, k=11 and d=144. This code was found by Heurico 1.16 in 0.746 seconds.