The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 1 0 1 0 X 1 1 1 1 X 1 X 1 1 2 2 1 1 1 X+2 1 1 2 1 2 X+2 0 X 1 1 1 0 1 2 0 2 1 1 X+2 1 X X+2 1 2 1 1 1 X 1 1 X 1 0 1 1 1 1 1 2 1 1 X X+2 0 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X X 0 X 3 1 1 1 2 X+2 0 X+3 X+1 1 0 1 X+3 X+2 1 X+2 X+3 X+2 X+1 1 X+3 X+2 1 X+2 X 1 1 0 3 X+2 1 1 3 2 1 0 3 2 1 X+2 1 1 X+1 1 2 3 X+3 1 X+2 X+1 X 2 1 X+3 1 1 X+1 X 1 X+3 1 2 1 1 0 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 X+1 X+2 1 1 X+3 0 X+2 1 2 X+3 3 X 1 X+2 X+2 X 2 2 1 X+1 1 X+3 3 X+2 1 2 X+2 1 3 1 1 1 X+1 X+3 1 X+3 1 X 1 X+1 X X 2 X+1 X X+2 X 1 X+2 X X+3 X+2 0 1 3 2 3 2 X+2 X+1 3 X+2 3 X 1 1 2 0 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X 0 X+2 2 0 0 X+2 X X 2 0 2 X 2 2 2 X X+2 0 X+2 0 0 X 2 X+2 X X X 0 2 2 2 0 X X+2 2 X 2 X X 0 2 0 X+2 0 2 0 X X+2 X+2 2 X+2 X 0 2 X+2 2 X+2 0 X+2 0 2 X+2 X+2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 2 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 0 0 0 2 2 0 0 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 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+40x^72+190x^73+372x^74+556x^75+760x^76+900x^77+1073x^78+1140x^79+1214x^80+1416x^81+1374x^82+1362x^83+1246x^84+1030x^85+1044x^86+816x^87+574x^88+490x^89+304x^90+198x^91+106x^92+58x^93+49x^94+18x^95+19x^96+6x^97+6x^98+4x^99+8x^100+4x^101+2x^102+2x^103+2x^105 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 16.4 seconds.