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 1 1 1 1 1 X X 1 1 2 1 1 1 1 1 X 1 1 1 2 0 1 0 1 1 1 1 X X 1 1 0 0 X 1 2 X 1 2 2 1 1 1 1 0 1 1 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 0 2 X X+2 2 0 2 X 2 X 0 2 X X+2 0 X+2 X+2 2 2 X+2 X 0 0 X X X X+2 2 0 X X+2 2 X 2 0 X 0 0 X X X 0 X 0 X X X+2 X+2 X X 0 2 X X 2 2 X+2 X+2 X X X X 2 0 X X 2 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X X 2 2 2 X 0 2 X+2 0 X+2 0 0 X+2 X X 2 X 0 X 0 X+2 X+2 0 X+2 2 X 2 X+2 X+2 0 0 X+2 0 X+2 X X+2 X+2 X 0 X+2 0 X 2 X X+2 2 X 0 X+2 X 2 X+2 X X X+2 X X X+2 X 0 0 2 0 X X 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 2 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 2 2 0 0 2 0 0 2 0 0 2 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+44x^72+74x^73+108x^74+116x^75+156x^76+176x^77+218x^78+320x^79+347x^80+360x^81+395x^82+352x^83+315x^84+306x^85+183x^86+166x^87+106x^88+84x^89+74x^90+50x^91+38x^92+22x^93+28x^94+18x^95+14x^96+2x^97+14x^98+2x^99+3x^100+3x^102+1x^130 The gray image is a code over GF(2) with n=328, k=12 and d=144. This code was found by Heurico 1.16 in 2.03 seconds.