The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 1 1 0 X+2 1 1 1 1 X+2 1 2 1 1 1 1 X+2 X 1 X+2 1 1 1 1 1 0 1 1 1 0 1 1 X 0 0 X+2 1 1 1 1 1 1 1 1 0 1 0 1 1 1 X+2 1 1 1 1 2 1 1 1 0 1 X 1 0 2 X X 1 X 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 0 X+3 1 X+2 1 1 1 X+1 2 X+2 1 1 X+2 1 X+1 2 1 X+3 1 1 0 1 X+2 3 X 1 X+2 1 X+1 X+3 0 1 3 X+1 1 1 1 1 1 X+2 X+1 0 X+2 3 X+1 X+2 1 2 1 0 0 0 1 X X+1 X+1 1 X 1 X+3 2 1 3 X 1 X 2 X 1 1 0 0 0 X 0 X+2 0 0 X 0 X+2 0 0 X 2 X+2 X 0 X X+2 0 X X+2 2 X+2 X X X+2 2 X 0 X X X+2 2 0 0 X 2 0 X X+2 2 X+2 2 X+2 X+2 2 X X X X+2 X+2 X+2 2 X+2 X+2 2 0 0 2 0 0 X+2 X 0 0 2 2 X 0 X+2 X+2 2 X+2 X X+2 X 2 X 2 X+2 0 0 0 0 0 X 0 0 X X X X X+2 2 X X+2 X+2 X X X 0 2 0 2 2 0 0 0 X X+2 2 0 X 2 X 2 X+2 0 X+2 X 0 X+2 X X+2 X+2 2 X 0 X 2 2 2 X X+2 0 2 2 X+2 0 2 0 0 0 0 X+2 0 2 X 0 X 2 X+2 2 0 X 2 X+2 2 X+2 X+2 2 X 0 X+2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 2 2 2 0 0 0 2 0 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 0 2 0 0 0 2 0 2 0 0 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+119x^72+28x^73+396x^74+208x^75+639x^76+424x^77+1191x^78+744x^79+1280x^80+1052x^81+1648x^82+1148x^83+1507x^84+1156x^85+1360x^86+796x^87+936x^88+376x^89+559x^90+164x^91+272x^92+36x^93+173x^94+12x^95+77x^96+44x^98+29x^100+4x^102+3x^104+1x^106+1x^108 The gray image is a code over GF(2) with n=332, k=14 and d=144. This code was found by Heurico 1.16 in 20.8 seconds.