The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X+2 1 1 1 1 X+2 2 1 1 1 0 1 1 0 1 1 X+2 1 1 X 1 1 X+2 0 1 1 X+2 0 1 X 1 1 X+2 2 1 2 1 1 1 1 1 X+2 1 X 1 1 1 1 X X 0 1 X+2 X+2 1 0 1 1 2 X X 1 1 0 1 X 0 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 X+1 1 1 2 3 X+3 X+2 1 1 X+2 X+3 X+2 1 1 3 1 X+3 0 1 X 3 1 X+1 X+2 1 1 2 X+2 1 1 X 1 X+3 0 1 1 X+3 1 1 X+3 3 X+2 2 1 3 1 0 X 3 X+2 X+2 1 1 3 1 1 X+3 1 3 X+3 X 2 X+2 1 2 1 X+1 X 1 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X+2 X 2 X X 2 X+2 2 2 0 X X+2 X+2 0 X+2 0 2 X+2 0 X+2 X X 2 0 X 0 0 X X X X+2 0 X+2 0 X 2 X+2 2 0 X X+2 2 0 X+2 2 X+2 2 X+2 X+2 2 X X+2 X 0 X+2 2 X+2 X X X+2 X+2 2 X+2 0 2 X 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 2 0 0 2 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 0 2 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 0 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 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+49x^72+74x^73+157x^74+268x^75+326x^76+644x^77+398x^78+762x^79+426x^80+844x^81+439x^82+918x^83+458x^84+684x^85+359x^86+514x^87+204x^88+268x^89+121x^90+86x^91+48x^92+38x^93+47x^94+12x^95+15x^96+6x^97+11x^98+8x^100+2x^101+3x^102+1x^104+1x^110 The gray image is a code over GF(2) with n=328, k=13 and d=144. This code was found by Heurico 1.16 in 5.79 seconds.