The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 X+2 1 1 1 1 X 1 1 X 1 1 1 2 X X 1 1 1 X+2 0 1 1 1 1 1 X+2 X 1 1 2 1 1 1 2 1 1 1 1 1 0 1 X+2 1 X+2 1 1 1 1 X+2 1 1 X 2 X 1 1 0 0 0 1 1 0 X 1 2 1 1 0 1 X 1 0 1 1 0 1 1 2 X+1 1 0 X+1 1 X+2 X+1 1 1 1 X+3 X+2 X 1 X+2 X+1 1 1 3 0 1 1 1 3 2 X+2 1 1 X X+3 X+2 X+3 2 1 1 0 3 1 X+2 X+2 X+3 1 2 3 1 3 X+2 1 3 1 1 1 X+1 X 2 X 1 0 3 1 0 0 X+3 X+3 1 1 1 X X 1 X+2 2 0 1 X 1 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 X+2 X X X X+2 X+2 X X+2 X+2 X+2 X X+2 X+2 X X X+2 0 2 2 X+2 X+2 X 2 0 2 X 2 X+2 X X+2 X X+2 X X X+2 0 2 0 2 X+2 2 2 X+2 2 2 X+2 X X 0 X+2 0 0 2 X 0 X 2 X+2 X X+2 0 0 0 X 0 0 0 0 0 X 0 2 0 2 X+2 X X X+2 2 X X X+2 X+2 X+2 X+2 2 X+2 2 X 0 X X+2 X+2 X X+2 0 X+2 0 X+2 2 X+2 0 X+2 2 X X X 0 0 X+2 X 0 2 2 2 X+2 2 2 2 X X+2 2 X+2 2 2 2 X 0 0 0 2 0 0 X 0 0 2 X+2 X 2 X+2 X X X 0 X 0 0 0 0 X 0 2 X+2 X 2 2 X+2 X 2 0 X X+2 0 X X+2 2 X+2 X X+2 2 2 0 X X+2 2 X 0 X 0 0 X+2 X 2 0 X X+2 X+2 X+2 0 X+2 2 X+2 X+2 0 X X+2 X+2 X 0 X+2 X+2 0 X 2 X+2 X X+2 0 X 2 2 X 2 X+2 X+2 X+2 X 2 0 0 X X+2 2 2 X 2 2 0 2 2 2 0 0 0 0 0 X X+2 X+2 X+2 X+2 X 0 X 2 X+2 2 X X+2 0 X 2 0 0 X 2 X 0 X X+2 0 X+2 X+2 2 2 X 0 0 X 2 X+2 2 X+2 X+2 2 X+2 0 X X+2 X 0 0 0 2 0 2 X 0 X 0 2 2 X 0 X+2 0 X 0 X X X+2 X 2 X X+2 X 0 2 2 X 2 2 X+2 X X+2 X 0 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+38x^75+175x^76+232x^77+369x^78+498x^79+752x^80+928x^81+891x^82+1172x^83+1289x^84+1304x^85+1341x^86+1298x^87+1280x^88+1144x^89+909x^90+834x^91+619x^92+396x^93+298x^94+192x^95+137x^96+68x^97+72x^98+42x^99+32x^100+20x^101+20x^102+20x^103+1x^104+4x^105+4x^106+2x^107+1x^108+1x^112 The gray image is a code over GF(2) with n=344, k=14 and d=150. This code was found by Heurico 1.16 in 22.5 seconds.