The generator matrix 1 0 0 0 0 1 1 1 2 1 1 0 1 X+2 1 X+2 X+2 1 1 0 X 1 1 X+2 1 1 1 2 0 1 X+2 X X 1 1 X 0 0 0 X X+2 1 1 1 1 1 X 1 1 X X 2 1 1 X 0 1 1 2 1 X X+2 X+2 1 1 1 1 1 X+2 1 1 1 1 1 1 X+2 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 3 1 X+3 1 2 2 2 2 1 1 X+3 X X+2 1 X+3 1 1 X+2 1 1 1 X+2 X+3 X+2 1 1 X 2 1 X 1 X+3 X 3 2 3 0 0 X+2 1 X+2 3 1 1 0 1 1 X X X+2 1 2 2 X 2 X+2 1 X+1 3 2 0 X+3 3 1 1 X+2 X+2 0 0 0 1 0 0 0 1 1 1 3 1 2 X 1 X+2 X+3 1 X+2 2 1 X X+1 X+1 0 X+1 2 X+2 X+3 X+2 1 2 0 X+3 X 0 X+2 0 X+1 1 1 X+1 X+3 X 3 0 X+2 1 X+2 2 1 2 1 0 X+3 X 2 X+3 X+1 0 1 1 1 X X+2 3 X+1 0 X X+1 0 0 X+2 X+2 X+3 X+3 X+3 X+3 3 3 0 0 0 0 1 0 1 1 0 3 2 X+1 X+3 X+2 3 3 2 X+1 X X+1 0 2 X+2 X+1 1 2 3 X X 1 3 X+1 X+3 3 X X+3 1 1 1 3 X+3 X+1 0 0 X+3 X+3 1 2 X+2 X+2 0 1 X+2 3 1 X X+2 X+3 2 1 0 0 X+3 0 X+1 X 1 1 1 0 0 1 X+2 2 2 X+1 1 0 X+1 2 X+2 0 0 0 0 1 1 2 3 1 0 X+1 X+3 X+1 0 0 X+1 2 1 X X+3 1 1 X+2 1 X X+3 X+2 0 0 X+3 1 X 1 1 X+2 X+2 0 X X+1 X+2 3 1 3 0 X X+1 0 X X 1 1 2 X+1 0 2 X+2 3 0 X+1 0 X+3 2 X+1 X+1 X+1 0 X 1 X+3 3 2 X+2 X+3 X+2 X+2 1 X+2 X+2 X+2 X 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+100x^69+553x^70+1034x^71+1344x^72+2164x^73+2447x^74+3552x^75+3735x^76+4668x^77+4586x^78+5844x^79+5132x^80+5824x^81+4905x^82+5160x^83+3895x^84+3450x^85+2408x^86+1820x^87+1141x^88+828x^89+412x^90+284x^91+102x^92+44x^93+49x^94+28x^95+10x^96+8x^97+4x^99+2x^101+2x^103 The gray image is a code over GF(2) with n=320, k=16 and d=138. This code was found by Heurico 1.13 in 77.4 seconds.