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 X 0 1 1 1 1 X 1 X 1 1 1 1 1 0 1 1 1 0 1 X 1 0 1 1 1 1 1 1 1 X 0 1 1 X 1 0 1 1 2 1 X 1 X 1 X 1 1 0 X X X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 2 X+2 X+2 0 0 X+2 X 2 0 2 2 X+2 X X X X+2 X X+2 X+2 X+2 0 X+2 0 0 X+2 X 0 2 X X 0 X+2 0 X 2 2 2 0 2 0 0 X+2 X 2 2 X+2 X+2 X X+2 0 X 0 X+2 X+2 X X+2 X+2 X+2 X X X+2 X+2 X+2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 0 0 2 2 2 0 0 2 0 0 2 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 2 0 2 2 0 2 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 2 0 2 2 0 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 0 0 2 0 0 0 0 2 0 2 2 0 0 2 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+37x^70+24x^71+95x^72+72x^73+114x^74+200x^75+114x^76+352x^77+106x^78+544x^79+78x^80+688x^81+71x^82+544x^83+87x^84+352x^85+101x^86+200x^87+79x^88+72x^89+60x^90+24x^91+36x^92+9x^94+15x^96+9x^98+3x^100+2x^102+4x^104+1x^106+1x^110+1x^122 The gray image is a code over GF(2) with n=324, k=12 and d=140. This code was found by Heurico 1.16 in 2.2 seconds.