The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X+2 1 1 0 1 1 X+2 1 1 1 1 2 2 1 0 1 0 1 2 1 2 1 0 1 1 0 1 X 1 X+2 1 0 2 X+2 1 2 X 1 1 1 2 1 X 0 1 X 1 1 1 1 X 1 1 1 2 1 1 1 2 0 X+2 X+2 X X 1 1 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 X+2 1 1 1 X 3 1 0 X+1 1 X+2 0 X+1 1 1 X 2 1 X 1 X+1 0 3 X+2 2 1 X 0 1 X+1 X 3 1 0 1 1 1 2 1 1 X+1 0 3 1 3 X+2 1 2 1 X+1 2 X+1 X+3 X+2 3 X 1 1 0 X+3 3 1 1 X+2 1 2 1 2 2 0 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 1 X+1 X 0 X+2 2 1 X+3 3 X+2 0 3 X+3 X 1 1 X X+2 X+2 X+1 X+2 1 X+3 1 X+2 X+3 3 X+1 2 X+3 1 X X+1 3 X X+1 2 X+3 X+2 1 0 2 X+1 X+1 0 1 X 1 X 2 2 0 X+1 1 3 2 1 3 X+3 0 3 2 0 1 1 1 X+1 3 2 0 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 2 2 2 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 2 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+81x^72+166x^73+363x^74+554x^75+733x^76+894x^77+1052x^78+1210x^79+1264x^80+1326x^81+1348x^82+1360x^83+1232x^84+1210x^85+952x^86+736x^87+647x^88+412x^89+334x^90+220x^91+119x^92+76x^93+34x^94+12x^95+15x^96+8x^97+10x^98+2x^99+4x^100+4x^101+2x^102+2x^103+1x^106 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 17.2 seconds.