The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 X+2 1 1 X 1 0 1 1 2 1 1 1 1 1 1 1 X+2 1 1 X+2 1 1 X+2 1 1 1 1 0 0 X+2 1 1 1 1 2 1 1 1 1 1 1 1 X X+2 1 X X+2 0 1 1 1 X 1 1 0 X 1 1 1 1 X 1 1 X+2 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 1 3 X+3 1 X+2 1 3 0 1 3 0 X+2 X+1 X 3 3 1 X+1 0 1 2 X+1 1 X+2 X X+1 2 1 1 1 0 X+2 3 X+3 1 X+2 X+2 0 X X+2 0 2 1 1 1 1 1 X X+1 X+3 X+1 X+2 X 3 1 1 X 0 X+2 2 1 0 X 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 0 2 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 0 2 0 2 2 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 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+108x^72+100x^73+212x^74+248x^75+262x^76+320x^77+312x^78+328x^79+356x^80+408x^81+240x^82+328x^83+303x^84+192x^85+104x^86+120x^87+85x^88+4x^89+28x^90+17x^92+6x^96+9x^100+3x^104+1x^108+1x^112 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.