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 0 1 1 X+2 1 1 1 1 1 1 X+2 X 1 0 X+2 2 1 0 1 1 1 1 1 2 1 1 2 X 2 X 1 1 0 X+2 X 1 X+2 1 1 1 1 0 2 X+2 X 2 1 1 1 1 1 1 2 1 1 0 0 1 X 1 0 1 1 0 1 0 0 0 0 0 0 0 1 1 1 3 1 X+3 1 2 2 1 1 2 2 1 X X X+3 X+3 X+3 X X 1 1 X+3 2 X X+2 X+2 1 X 3 0 X+2 1 0 X+3 1 1 2 1 1 X+3 2 1 1 0 X+3 1 X+1 3 1 X+2 0 1 1 2 1 X+3 1 1 2 X+1 3 1 X+2 X+2 1 1 X+1 1 X+1 0 1 0 0 0 1 0 0 0 1 1 1 3 1 2 X 1 X+2 X+3 1 X+2 X+1 X 1 2 X+2 X+2 X+1 0 X+3 X+2 3 X+3 2 3 3 1 1 1 2 X+3 1 X+3 X+2 3 1 1 2 2 X 1 X+3 2 X+3 1 X+2 X 1 1 2 X 1 X 1 X+2 0 1 2 0 0 0 0 X+2 X+1 3 2 X X+3 2 X 2 X 0 1 X+1 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 0 X+3 3 1 1 X+2 1 X+1 X+2 0 0 3 X+2 2 X X+1 X+1 0 2 X+3 1 1 1 X+3 1 X 1 2 X+3 X+3 0 X+3 X X+3 X+3 X+3 X X X+3 3 X+3 2 1 X+2 1 0 X+2 X 2 X+1 0 2 X+2 1 X 2 0 X+3 X+2 X+3 1 X+2 0 0 0 0 0 1 1 2 3 1 0 X+1 X+3 X+1 0 0 X+1 2 1 2 2 X+3 X 3 X+1 X+3 X X X+3 0 3 X+3 3 3 X+2 1 X+3 1 X+1 0 X+1 X+2 0 X 2 X+2 3 X 2 0 X+2 0 3 X 3 3 X+1 X+1 X X+2 X+3 3 1 X+2 3 X X+3 2 X+3 1 0 X+3 0 X+2 X+3 X+3 1 0 1 0 X+2 2 3 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 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+182x^72+534x^73+964x^74+1562x^75+2159x^76+2618x^77+3332x^78+3914x^79+4484x^80+5044x^81+5238x^82+5504x^83+5393x^84+4986x^85+4423x^86+4068x^87+3524x^88+2584x^89+1928x^90+1302x^91+751x^92+452x^93+266x^94+144x^95+69x^96+30x^97+38x^98+14x^99+9x^100+8x^101+3x^102+2x^103+4x^104+2x^107 The gray image is a code over GF(2) with n=332, k=16 and d=144. This code was found by Heurico 1.13 in 81 seconds.