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 1 1 X 1 2 1 X+2 1 2 1 1 1 1 1 0 1 1 X+2 2 0 1 X 1 1 1 1 1 2 1 1 1 1 0 1 1 X 1 X+2 0 1 1 1 1 1 1 1 1 1 X+2 1 1 0 X+2 0 X X+2 1 1 X+2 0 1 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 2 X 2 1 3 1 X+1 1 1 1 X+1 X+2 X+2 X 3 1 X+1 3 1 1 1 X+2 1 0 0 1 X+2 X+1 1 2 X 3 3 1 X+3 0 1 1 1 1 3 X+3 X+3 X 0 1 X+2 3 2 1 X+3 2 X 1 1 1 1 3 X+2 1 1 0 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 2 2 X+2 X X+2 0 2 X+2 2 2 X 0 X+2 2 0 X 0 0 X 2 X+2 2 X+2 0 X X X+2 0 X+2 X 2 2 0 0 X 2 2 2 0 X+2 2 X X X+2 X+2 0 X X X X X+2 X+2 X X 0 X 0 0 X 0 2 X 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 0 X 0 0 0 X+2 X 0 2 2 X X X 2 X 0 X+2 2 X 0 X 0 X+2 X X+2 X 2 0 X+2 2 2 2 X+2 X+2 X 0 X+2 X+2 X 2 X+2 X+2 X 2 X 0 X+2 0 0 X X+2 0 X 2 X X 2 X+2 X 2 0 0 X 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 0 X X 2 X X 2 2 X X+2 2 X+2 X+2 0 2 2 0 X+2 2 2 X X X+2 2 0 X+2 X 2 2 2 X+2 X X X X+2 0 X 0 2 2 0 2 0 X 0 0 0 X 2 2 2 X+2 X+2 0 2 X 0 2 2 X 2 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 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 2 2 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 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 2 0 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 0 0 2 2 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+52x^75+137x^76+204x^77+365x^78+498x^79+672x^80+840x^81+1082x^82+1154x^83+1246x^84+1416x^85+1285x^86+1388x^87+1324x^88+1128x^89+930x^90+766x^91+621x^92+416x^93+302x^94+192x^95+121x^96+76x^97+49x^98+36x^99+27x^100+12x^101+15x^102+10x^103+10x^104+4x^105+2x^106+1x^110+1x^114+1x^116 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 21.7 seconds.