The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 X+2 1 1 0 1 0 1 1 X+2 1 1 1 0 1 1 2 1 1 X+2 1 X 1 1 1 0 1 2 1 X+2 1 1 1 1 1 1 1 X 1 X+2 1 X 0 1 1 1 X+2 1 1 1 1 1 0 X X+2 1 2 X 1 1 X 1 X 1 X X 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 X+2 X+1 1 0 0 X+1 1 X+2 3 1 1 0 1 X+2 1 2 X+1 X+2 1 X+2 1 X+3 1 3 3 X+1 3 X X 0 1 X+3 1 0 1 1 3 1 1 1 2 2 X+3 X 2 X 1 1 2 1 1 X+1 X+1 1 0 1 X+2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 2 0 2 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 0 2 2 0 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 2 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+60x^70+24x^71+152x^72+200x^73+262x^74+216x^75+296x^76+424x^77+255x^78+296x^79+306x^80+472x^81+302x^82+200x^83+209x^84+184x^85+113x^86+32x^87+43x^88+25x^90+8x^92+3x^94+1x^96+2x^98+7x^100+1x^102+1x^104+1x^106 The gray image is a code over GF(2) with n=316, k=12 and d=140. This code was found by Heurico 1.16 in 1.38 seconds.