The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 X X 1 0 1 2 1 X 1 1 1 0 2 1 1 1 2 1 2 0 X X X 2 1 1 1 2 1 1 1 1 X 1 1 2 2 X X 1 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 0 X+2 X+2 X 0 X 2 0 X X X+2 X X 0 2 2 X+2 X X 2 2 X 2 0 2 X 0 X 0 X X+2 X 0 X+2 0 2 X X+2 0 0 X X 0 0 X X+2 0 X 2 0 X 2 0 X+2 X+2 X 0 2 X+2 X 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 X X+2 2 2 X+2 X X 0 X+2 2 0 0 0 X+2 2 X 0 2 X X+2 X+2 2 X 2 X+2 2 X+2 2 X+2 X 2 2 2 2 0 0 X+2 X X 2 2 0 X X+2 2 X 0 X X+2 X 0 X X+2 0 2 X 2 X+2 X+2 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X X+2 X+2 0 X 0 2 2 X+2 2 X 2 0 X+2 0 X 0 2 0 X X+2 X+2 0 0 2 X 2 X 0 X+2 0 X 0 X 0 2 2 X+2 X 2 X+2 X 0 X X 0 X+2 2 X 0 0 0 2 X X X+2 0 X+2 X+2 X 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 0 0 2 2 2 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 0 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+248x^72+4x^73+380x^74+68x^75+522x^76+184x^77+686x^78+328x^79+868x^80+448x^81+940x^82+432x^83+859x^84+328x^85+550x^86+184x^87+414x^88+60x^89+286x^90+12x^91+218x^92+84x^94+59x^96+18x^98+9x^100+1x^104+1x^120 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 43.2 seconds.