The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 1 X 1 1 1 1 1 1 1 X 0 1 1 1 1 1 1 X 1 1 2 X 1 1 1 X 1 1 X 0 1 2 0 X 1 0 0 1 1 1 1 X 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 0 X X+2 0 0 X+2 X+2 2 X+2 X 2 2 X X 0 X+2 0 2 2 X X 2 X 0 2 0 X X+2 X+2 0 2 X 0 0 X+2 2 X 2 X+2 X X X 2 X X+2 X+2 X X X X X+2 X X X+2 X+2 X X 2 0 2 X X 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X 0 X 2 X+2 0 2 X 2 X 2 0 X X+2 2 X+2 0 X X X X 0 X X+2 0 X X+2 X X+2 X+2 X+2 X X 2 X+2 X 0 2 X 2 X X+2 X+2 0 0 2 2 X+2 0 X+2 0 0 0 X+2 0 X+2 0 2 2 X X X X 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 2 2 0 0 0 2 0 0 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 0 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+148x^70+4x^71+234x^72+32x^73+336x^74+112x^75+400x^76+224x^77+440x^78+280x^79+526x^80+224x^81+398x^82+112x^83+215x^84+32x^85+146x^86+4x^87+112x^88+47x^90+39x^92+18x^94+7x^96+2x^98+1x^100+1x^106+1x^124 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 3.69 seconds.