The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 X+2 1 1 1 1 X 1 1 X 1 1 1 2 X X 1 1 1 X+2 0 1 1 1 1 1 X+2 X 1 1 2 1 1 1 2 1 1 1 1 2 0 1 1 2 1 1 0 1 1 2 1 2 X 1 1 1 1 1 1 1 1 X 1 2 1 1 0 X 1 0 1 1 0 1 1 2 X+1 1 0 X+1 1 X+2 X+1 1 1 1 X+3 X+2 X 1 X+1 X+2 1 1 3 0 1 1 1 3 2 X+2 1 1 X X+3 X+2 X+3 2 1 1 0 3 1 X+2 X+2 X+3 1 2 3 1 X+3 1 1 X+1 X+3 1 0 X 1 X+1 2 1 X+1 X 1 X+2 X+3 0 X X+3 1 1 X+3 X+2 X+2 1 1 X 2 2 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 X+2 X X X X+2 X+2 X X+2 X+2 X+2 X X+2 X+2 X X X+2 0 2 2 X+2 X+2 X 2 0 2 X+2 X X X+2 X+2 2 X 0 X X X+2 2 X 0 2 2 X+2 X X X+2 X 2 X X 2 X+2 2 X+2 2 X X+2 0 0 0 0 X 0 0 0 0 0 X 0 2 0 2 X+2 X X X+2 2 X X X+2 X+2 X+2 X+2 2 X+2 2 X 0 X X+2 X+2 X X+2 0 X+2 0 X+2 2 X+2 0 X+2 2 X X X 0 0 X+2 X 2 X 2 0 X+2 X+2 X X+2 X X+2 2 0 2 0 X+2 0 X+2 2 2 2 2 X+2 X 2 X+2 0 0 X+2 2 X 2 0 0 0 0 0 X 0 2 X+2 X 2 2 X+2 X 2 0 X X+2 0 X X+2 2 X X+2 X+2 2 2 0 X X+2 2 X 0 X 0 0 X+2 X 2 0 X X+2 X+2 X+2 0 X+2 2 X+2 X+2 0 X X+2 X X+2 0 X 2 0 X 2 X 0 X+2 X+2 X 2 2 X+2 2 2 2 X+2 X+2 X X+2 X 2 X X X X 2 X 0 0 0 0 0 0 X X+2 X+2 X+2 X+2 X 0 X 2 X+2 2 X X+2 0 X 2 0 0 X 2 X 0 X X+2 0 X+2 X+2 2 2 X 0 0 X 2 X+2 2 X+2 X+2 2 X+2 0 X X+2 X 0 0 X 2 X 0 X+2 0 X+2 X 2 0 0 X+2 X+2 X+2 X 2 X 0 2 X+2 X 0 X X 2 2 X+2 X+2 X+2 2 X 2 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+58x^72+120x^73+190x^74+406x^75+547x^76+638x^77+853x^78+1000x^79+1195x^80+1260x^81+1297x^82+1420x^83+1322x^84+1264x^85+1224x^86+1006x^87+755x^88+584x^89+375x^90+258x^91+195x^92+142x^93+101x^94+56x^95+50x^96+20x^97+16x^98+12x^99+4x^100+4x^101+5x^102+2x^103+1x^104+2x^106+1x^110 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 21.6 seconds.