The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 2 X+2 1 1 1 1 1 1 0 X 1 1 2 1 1 1 0 0 1 0 X 1 1 X 0 X+2 1 1 1 0 1 X 0 X+2 X+2 1 2 X X 2 X 0 1 X 1 1 1 0 1 1 1 1 0 1 1 1 2 1 1 X+2 1 1 1 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X 3 X+3 X 1 1 X X+2 X+2 0 2 3 1 1 0 X+3 2 X+1 X+2 1 1 1 1 X 1 X+3 X+2 1 1 X X+2 0 3 1 0 1 1 0 X X 1 1 1 X+2 X 1 X+1 0 X+1 2 0 1 X+1 X+1 0 2 X X+3 1 X+1 1 X+1 2 0 X+2 0 X+3 X 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 1 X+2 1 X+3 0 2 X+3 X 2 X+1 X+2 X+2 1 X 3 1 2 X+3 X+3 X+2 3 2 1 3 0 2 X X+1 1 3 0 X+2 3 X X 3 1 1 X+1 2 0 X+1 1 1 X+2 3 1 X+3 X+3 1 X+2 X+3 X+3 3 X+1 1 2 X+3 X+1 0 1 3 1 X 3 X+2 0 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X X+2 2 2 0 X+2 X+2 X+2 X+2 X+2 X+2 2 2 X X+2 X+2 0 0 2 X+2 X+2 0 X+2 X+2 2 0 X X+2 X+2 0 X 0 X 0 2 0 X 0 2 2 X X+2 X+2 X+2 X 0 0 X+2 2 X+2 2 X X+2 0 2 X+2 0 0 X+2 X 0 X+2 2 X+2 X X X 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 2 2 0 2 2 0 0 2 2 0 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 0 2 0 2 0 2 2 0 2 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+270x^72+272x^73+652x^74+604x^75+1019x^76+976x^77+1318x^78+1192x^79+1463x^80+1148x^81+1450x^82+1192x^83+1206x^84+932x^85+915x^86+520x^87+534x^88+244x^89+206x^90+76x^91+87x^92+12x^93+52x^94+26x^96+10x^98+3x^102+2x^104+2x^106 The gray image is a code over GF(2) with n=324, k=14 and d=144. This code was found by Heurico 1.16 in 19.9 seconds.