The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 1 X 2 1 1 2 1 2 1 1 1 0 1 1 0 1 1 1 X+2 2 1 0 1 1 1 1 1 0 1 1 1 X 1 1 1 1 2 1 1 0 X 0 1 0 1 1 1 X 1 1 1 2 X 1 1 1 1 2 2 1 X X+2 X X+2 1 0 1 1 0 1 1 0 X+3 1 2 1 X+3 3 2 1 2 3 X+1 1 1 2 X+1 1 0 1 3 1 X 1 X+2 1 1 X X+1 X 1 1 3 1 1 X+2 2 1 0 1 2 X+3 X 1 X X+2 X+3 1 1 X+1 X+3 1 1 1 X+3 1 X 2 0 1 3 X+3 3 1 1 0 X+1 X+1 X+2 2 1 2 X+2 1 1 1 2 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 X X X+2 X X X X+2 X X+2 X+2 X X+2 X 2 X+2 X+2 X+2 X+2 X+2 0 2 X+2 2 X 2 2 X X+2 2 2 X 0 X X+2 X X+2 X 2 2 X+2 2 X+2 0 0 X 0 X+2 X X+2 X+2 X 2 2 2 2 0 0 0 X 0 0 0 0 2 X+2 2 0 0 2 X X+2 X+2 X X X 2 0 X X 0 X X+2 2 X X+2 2 0 0 X+2 X+2 2 2 X X X+2 2 0 X X X 0 X X X+2 X+2 0 X+2 2 0 X+2 X 2 X 2 X 0 2 X+2 X+2 2 X+2 0 X X X+2 0 2 2 X X+2 X 2 X+2 X 0 X+2 X+2 0 0 0 0 X 0 X 2 X X+2 X X X+2 X 0 2 0 X+2 X+2 X+2 0 2 2 X X+2 X+2 2 2 2 0 X+2 0 X+2 X+2 X+2 X X 0 X X X X+2 X+2 0 X+2 X X X 0 X 0 X X+2 0 2 2 0 X+2 X X 0 0 X+2 X X X 2 X 0 2 0 X 2 0 2 X+2 0 2 X 0 X+2 0 0 0 0 0 0 X X+2 X 2 X X+2 X+2 X 0 X+2 X+2 X+2 X+2 2 X+2 X+2 2 2 2 X+2 2 0 2 2 X+2 2 X X 0 2 X 0 0 X X X 0 X 2 0 X+2 2 X+2 X+2 0 X X+2 2 2 X+2 X 0 X+2 0 2 2 0 X+2 X+2 0 2 X X X+2 2 X+2 0 X 2 2 2 2 X+2 X+2 X+2 0 0 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+237x^72+64x^73+486x^74+292x^75+900x^76+612x^77+1196x^78+912x^79+1621x^80+1228x^81+1684x^82+1128x^83+1468x^84+932x^85+1096x^86+656x^87+768x^88+228x^89+404x^90+84x^91+172x^92+8x^93+82x^94+74x^96+42x^98+2x^100+2x^102+3x^104+2x^108 The gray image is a code over GF(2) with n=328, k=14 and d=144. This code was found by Heurico 1.16 in 45.6 seconds.