The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 X+2 1 2 1 1 1 2 1 1 1 1 1 X 1 X X 1 1 1 1 2 1 1 0 1 2 1 0 1 1 X 1 X 2 1 1 1 0 1 1 0 1 1 1 1 0 X 1 2 1 2 X+2 1 1 1 1 1 0 1 2 1 2 X 2 2 X 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X+2 1 X+2 1 X+3 X+3 0 1 1 1 2 X+1 0 1 X+1 1 1 0 X+2 1 3 1 X+1 X 1 3 1 1 1 X+1 X 1 X+1 1 1 3 2 2 1 X X+2 1 3 X 2 X+1 1 X 2 1 2 X 1 X+3 1 X X+3 X+3 1 X+3 1 1 1 0 1 X 0 0 0 X 0 X+2 0 X+2 2 X X X 2 0 0 X+2 X X+2 0 2 2 X 2 X X X 0 0 X X+2 0 0 X+2 2 X X X 0 2 X+2 X 2 2 X+2 X+2 2 2 0 0 X X X 0 2 0 X+2 2 2 0 X X X 2 2 X+2 0 0 X X+2 X X+2 X X 0 2 2 X+2 0 X X+2 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+284x^72+534x^74+701x^76+542x^78+771x^80+526x^82+400x^84+158x^86+114x^88+20x^90+23x^92+12x^94+4x^96+4x^100+2x^104 The gray image is a code over GF(2) with n=316, k=12 and d=144. This code was found by Heurico 1.16 in 6.75 seconds.