The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X+2 1 1 0 1 1 X+2 1 1 1 1 2 2 1 1 1 1 1 2 1 0 2 1 2 2 X 1 2 1 1 1 1 0 X 1 1 1 2 X 1 0 1 1 1 0 X+2 X 2 2 0 1 1 1 X X X+2 1 1 X 1 X 1 1 1 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 X+2 1 1 1 X 3 1 0 X+1 1 X+2 0 X+1 1 1 X 2 X+2 X 3 1 X+2 0 1 1 X 1 1 2 X+1 1 X+3 3 1 0 1 X+2 X+2 X 2 1 1 X+1 X+2 X+1 2 X+3 1 X+2 1 1 1 X+2 0 X+2 2 1 1 X 2 0 1 X+2 2 3 X+3 2 0 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 1 X+1 X 0 X+2 2 1 X+3 3 X+2 0 3 X+3 X 1 1 X X+1 X+2 0 X+1 1 0 X+3 X+1 3 X X+2 1 3 X+3 X+2 X 3 X+3 1 1 3 0 1 X+2 2 1 1 0 X 2 X+3 1 2 X+2 2 1 X 2 3 3 3 1 1 2 X+1 1 1 X 2 X 0 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 2 0 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+49x^70+222x^71+289x^72+606x^73+598x^74+1080x^75+743x^76+1508x^77+932x^78+1868x^79+1025x^80+1650x^81+939x^82+1362x^83+704x^84+1120x^85+460x^86+520x^87+253x^88+208x^89+74x^90+62x^91+41x^92+18x^93+14x^94+6x^95+12x^96+8x^97+5x^98+2x^101+1x^102+4x^104 The gray image is a code over GF(2) with n=320, k=14 and d=140. This code was found by Heurico 1.16 in 16.6 seconds.