The generator matrix 1 0 1 1 1 X+2 1 1 0 X+2 1 1 1 1 X 1 2 1 X+2 1 1 0 1 1 X 1 2 1 1 1 1 0 1 1 1 0 1 1 1 X+2 X 1 1 1 X+2 1 1 0 1 1 X+2 1 1 X+2 1 1 1 2 2 1 1 X+2 1 1 1 X+2 1 0 X 1 1 1 1 1 X 1 X 0 1 1 1 1 0 1 X 1 2 1 0 0 1 1 0 1 1 X X+3 1 1 X+3 2 X X+1 1 X 1 1 1 3 0 1 3 X 1 3 1 X X+2 X+1 2 1 1 2 2 1 X+1 X+1 X+2 1 1 X X+3 X+3 1 X+3 X 1 X+2 3 1 X+2 X 1 3 X+1 X+1 1 1 2 1 1 X+1 0 0 1 3 1 X+2 X+1 0 X+3 X+3 X+2 0 X+1 0 1 X+3 0 X+3 X+2 X X 1 X+1 1 X+2 1 0 0 X 0 0 0 0 0 0 2 X+2 X X+2 2 0 X X X X+2 2 X+2 X+2 X+2 X X+2 2 2 2 X 0 X X+2 X 2 X X 0 X 2 X 2 0 0 0 0 X+2 X+2 0 0 2 X+2 X+2 X X 2 X 2 2 0 2 X+2 0 X+2 0 X X X+2 2 0 X+2 2 2 0 X 0 X 2 0 2 X+2 0 2 0 0 X X+2 2 X 0 0 0 0 X 0 0 X 2 X X+2 0 X+2 X X 0 0 2 X X+2 X+2 2 X 2 2 X+2 0 X+2 2 X X+2 X+2 2 X X 2 X+2 2 X 2 0 X 2 X+2 0 X+2 2 0 2 2 0 X 2 X 0 X 2 0 0 X+2 X X 0 X 2 0 0 X+2 X+2 X X+2 2 2 X+2 0 0 0 0 0 0 X+2 2 X X 0 0 0 X+2 X 0 0 0 0 0 X 0 0 X+2 X+2 X+2 2 X X X+2 X X+2 0 0 0 X X+2 X X+2 2 X+2 2 0 X 2 0 2 X+2 X+2 X+2 0 2 2 2 2 0 X 0 2 X+2 0 X 2 X+2 X+2 0 X+2 X+2 X+2 X+2 2 2 0 0 X+2 X 0 0 0 0 0 X X 2 2 X+2 X X+2 2 X+2 X+2 X+2 X+2 X+2 X X X 0 X 0 0 X+2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 2 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 0 2 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+60x^78+136x^79+290x^80+440x^81+473x^82+684x^83+866x^84+950x^85+1152x^86+1346x^87+1249x^88+1264x^89+1379x^90+1248x^91+1163x^92+968x^93+778x^94+592x^95+418x^96+260x^97+193x^98+176x^99+64x^100+66x^101+49x^102+38x^103+38x^104+20x^105+6x^106+4x^107+6x^108+5x^110+1x^114+1x^116 The gray image is a code over GF(2) with n=356, k=14 and d=156. This code was found by Heurico 1.16 in 23.8 seconds.