The generator matrix 1 0 0 1 1 1 X 1 1 2 1 X 1 X+2 1 1 1 2 1 2 2 X+2 X+2 1 1 1 1 0 2 1 X 1 0 1 1 X 1 1 X+2 1 1 1 0 2 X 1 X+2 X 1 X+2 0 2 1 1 1 0 1 1 1 1 1 2 1 X+2 X 1 1 1 X+2 1 1 1 1 X+2 0 0 1 1 X+2 1 0 1 0 0 1 X+3 1 X X+3 1 X+1 X+2 X+2 1 1 3 X+2 1 X+2 1 X+2 0 1 0 3 2 X+2 1 X X+1 1 X+2 1 3 3 1 X+3 2 X X+1 0 1 1 1 1 2 1 2 3 0 2 1 2 X 1 0 1 0 3 1 2 1 X+2 2 1 X+1 3 3 1 X 2 X X+1 1 1 1 0 3 X 1 0 0 1 X+1 X+3 X+2 1 X 3 3 0 1 X+1 X+2 1 0 2 X 3 X+1 1 1 X+3 X+1 2 X X+1 2 1 X+1 0 X 3 X+3 X X+2 1 1 1 X+3 X+2 X+2 2 X+3 2 1 X+1 1 3 1 1 1 X+1 2 X+2 1 1 2 2 0 1 X+2 0 1 X 0 3 0 X+1 X+3 2 2 X+3 1 X+1 0 X+3 X+2 1 1 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 0 2 0 0 2 0 0 0 2 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2 0 0 0 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 0 0 2 2 0 0 0 2 2 2 2 0 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+150x^72+120x^73+602x^74+404x^75+744x^76+584x^77+808x^78+548x^79+782x^80+484x^81+704x^82+396x^83+616x^84+260x^85+333x^86+172x^87+218x^88+84x^89+86x^90+16x^91+40x^92+4x^93+26x^94+9x^96+1x^102 The gray image is a code over GF(2) with n=320, k=13 and d=144. This code was found by Heurico 1.16 in 4.78 seconds.