The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 2 1 1 1 1 0 X 1 1 1 0 1 0 1 1 1 2 1 1 1 X+2 1 2 1 1 1 X 0 1 1 1 X 1 1 1 1 1 1 X 0 1 X 1 1 0 1 1 2 1 0 1 1 1 1 X 1 1 X+2 1 X 0 1 2 1 2 2 0 1 X+2 1 X 1 1 X 2 0 1 1 0 1 1 X X+3 1 X+2 X+3 1 1 2 X+1 X 1 1 1 X X+1 3 1 0 1 3 0 X+1 1 0 1 X+2 1 2 1 X+3 X+2 3 1 1 X 0 2 1 X+3 1 3 2 2 X 1 1 X 1 2 1 1 1 3 1 3 1 3 X 0 X+3 1 3 2 1 X+1 1 1 X+3 X 1 2 1 1 2 1 2 0 2 2 X+2 1 0 0 X 0 0 0 0 0 0 0 X+2 2 X+2 X 2 X+2 X+2 X+2 X X X 0 X+2 0 X 2 X X+2 0 2 0 0 2 2 2 2 X X+2 2 2 X 0 2 2 X+2 X 2 X X+2 X 0 0 2 X X X+2 0 X+2 X+2 2 2 0 X 2 X+2 X X 2 0 X X X 0 X+2 0 0 X X+2 2 0 2 2 X+2 2 2 0 0 0 0 0 X 0 0 X 2 0 0 0 0 0 X X 2 X+2 X 2 X+2 2 X X X+2 0 2 X+2 X+2 X+2 X X+2 0 X 2 0 2 X 2 X+2 X 0 0 X 2 X+2 2 0 2 X X 0 2 X X+2 2 X+2 X X 2 X+2 X+2 2 X+2 0 0 X 2 2 0 X+2 2 X+2 2 X X 2 0 0 X 0 0 2 X+2 0 X X 0 0 0 0 0 X 0 0 X+2 X+2 2 2 X+2 2 X+2 X+2 X 2 2 0 X X 2 X+2 X X+2 0 0 X 2 X 2 X+2 X X+2 2 0 0 X 0 X+2 0 X+2 0 2 0 0 2 0 X 0 X+2 X+2 X 2 X+2 X X X 0 X 0 2 0 0 2 X X X+2 0 X+2 0 X X 2 2 0 X+2 X+2 X 2 X+2 X X 0 2 X+2 X 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 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 0 0 0 2 0 2 2 2 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+67x^76+150x^77+247x^78+396x^79+485x^80+608x^81+866x^82+1080x^83+1215x^84+1226x^85+1305x^86+1398x^87+1314x^88+1218x^89+1128x^90+956x^91+715x^92+626x^93+484x^94+314x^95+176x^96+114x^97+89x^98+66x^99+49x^100+20x^101+27x^102+12x^103+8x^104+4x^105+12x^106+2x^107+2x^108+2x^109+1x^110+1x^114 The gray image is a code over GF(2) with n=348, k=14 and d=152. This code was found by Heurico 1.16 in 21.9 seconds.