The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X 1 1 2 1 1 0 1 1 X 1 1 X+2 1 1 1 1 X+2 1 X+2 1 1 1 2 1 1 0 1 1 2 1 1 1 1 X+2 1 1 1 1 0 2 1 1 2 1 1 1 1 1 X 1 X 1 1 X X X+2 1 1 1 1 X 1 2 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X X+3 1 2 1 1 0 1 1 X+2 X+1 1 X+2 1 1 2 X+1 X X+1 1 X+1 1 3 X+2 X 1 2 1 1 X+2 0 1 X+3 2 1 3 1 X+2 X+2 2 1 1 2 2 1 1 X+2 3 X+1 X+2 0 1 X+3 1 X+2 X+3 1 1 1 X+1 X+1 1 0 2 X+1 1 X+2 X+1 0 0 X 0 X+2 0 X+2 2 X X X 2 X+2 X X+2 X+2 X X 0 0 2 0 2 X X+2 X+2 0 X+2 0 0 X+2 X+2 X+2 X+2 0 2 X 2 X+2 X+2 2 0 2 X 2 2 X+2 0 2 0 0 2 0 X+2 X 0 0 2 X 0 0 X X 2 X+2 X+2 X 2 2 X+2 X+2 0 0 0 2 X+2 X X 2 0 0 0 0 2 0 0 0 2 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 0 2 2 0 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 2 0 0 0 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 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+59x^72+130x^73+193x^74+268x^75+322x^76+298x^77+347x^78+340x^79+314x^80+362x^81+291x^82+296x^83+262x^84+210x^85+156x^86+106x^87+56x^88+16x^89+15x^90+10x^91+3x^92+4x^93+11x^94+2x^95+6x^96+4x^97+8x^98+2x^99+1x^100+1x^102+1x^106+1x^110 The gray image is a code over GF(2) with n=320, k=12 and d=144. This code was found by Heurico 1.16 in 1.43 seconds.