The generator matrix 1 0 0 0 0 1 1 1 2 1 1 0 1 X+2 1 X+2 X+2 1 2 0 1 0 1 X 1 X+2 X+2 1 1 0 1 1 2 2 1 1 2 1 1 1 X+2 1 1 X+2 1 X+2 1 X+2 X 1 0 1 1 1 X X 1 1 0 0 1 0 X+2 1 1 X+2 X 1 X 0 1 1 1 1 0 1 X 0 X 0 1 0 1 0 0 0 0 0 0 0 1 1 1 3 1 X+3 1 2 2 1 1 X 2 2 1 X+1 1 X 3 X+2 X+2 X+1 X+2 1 0 X+1 X+1 2 3 3 0 X X X+3 0 0 1 2 2 1 X+3 1 X+2 X 1 1 1 X 1 0 1 X 1 1 X+2 3 1 X+2 X+3 1 X 2 X+2 X+2 X+3 0 X+1 1 1 1 1 2 0 0 1 0 0 0 1 1 1 3 1 2 X 1 X+2 X+3 1 X+2 X+1 X 3 1 2 X+1 0 0 2 1 3 X X+2 X+2 X+2 1 1 X+1 1 X+2 1 X+3 1 2 X+1 1 2 2 X 1 X+2 0 X+2 X+1 1 X+1 3 X+1 2 3 X 0 3 X+1 1 1 3 2 2 2 3 1 2 2 X+1 X+2 1 3 X+3 X+1 X+2 X+3 2 0 0 0 1 0 1 1 0 3 2 X+1 X+3 X+2 3 3 2 X+1 X X 1 X+1 0 X+1 1 X+2 X+2 1 X+2 2 X+2 X+1 X 1 X+1 X 3 X X+1 3 X+3 0 1 3 3 X 0 1 3 1 2 X+2 0 X X X+3 X+1 0 0 1 X X 0 2 1 X 3 1 X+3 X+1 X+3 X+2 X 1 0 X+3 X+1 3 X+2 3 X+1 2 0 0 0 0 1 1 2 3 1 0 X+1 X+3 X+1 0 0 X+1 2 1 2 2 3 X+3 X 3 X 1 X+3 1 X 1 X+3 X+2 X+1 X+2 0 X X+1 0 X+3 X+2 0 X+1 0 2 1 2 X X+1 X+2 X+3 X+3 X+2 X+1 3 X+1 X 3 0 X+3 X+1 0 2 X+1 2 X X+1 X X+2 1 X+1 X+3 2 1 2 X+1 X+3 X+2 1 3 X+1 X+2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 0 0 2 2 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 2 2 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+137x^70+478x^71+972x^72+1694x^73+2024x^74+2608x^75+3193x^76+3744x^77+4576x^78+4894x^79+5701x^80+5586x^81+5222x^82+5318x^83+4798x^84+4066x^85+3143x^86+2516x^87+1818x^88+1180x^89+754x^90+526x^91+321x^92+102x^93+68x^94+40x^95+28x^96+12x^97+8x^98+4x^99+4x^102 The gray image is a code over GF(2) with n=324, k=16 and d=140. This code was found by Heurico 1.13 in 78.5 seconds.