The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 0 1 1 0 1 1 1 1 X 1 1 2 X 1 1 X 1 1 X X+2 1 1 1 1 1 1 1 1 2 1 1 X+2 X 0 1 1 0 0 X 1 X 1 1 1 1 1 1 1 1 1 1 X+2 1 X+2 1 X X+2 X 1 0 0 2 1 0 1 X X X X 1 1 0 1 1 0 X+3 1 X X+3 1 3 1 0 1 X+2 1 1 X 1 1 X+1 2 X+3 X+2 1 X 3 1 1 1 X 1 1 2 1 1 X+3 0 X+3 3 X+3 2 X+1 X+3 1 2 X 1 1 1 X+1 2 1 1 1 X 1 X+2 X+1 0 X+2 1 1 X+3 X+2 1 2 1 2 1 3 X 1 1 X+2 1 1 0 3 1 X+2 1 1 0 X 0 2 0 0 X 0 X+2 0 0 2 2 0 2 X 0 X X X X X+2 X 0 X+2 X+2 0 X X+2 X+2 X 2 0 2 X X+2 X+2 0 2 X+2 0 2 2 0 2 X+2 X X+2 2 0 2 X X+2 0 0 0 2 X X 2 2 0 X+2 X+2 X+2 2 0 X 2 0 X+2 0 X+2 X X+2 2 0 X 0 X X 0 X+2 0 2 0 0 X X+2 2 0 0 0 X 0 0 X X+2 X+2 2 X X X+2 X+2 X X 2 X 0 0 2 X 2 2 X+2 X+2 X X+2 X X+2 2 0 2 0 2 2 2 2 2 X X+2 0 X X 0 2 X 0 2 0 X+2 X 0 X+2 2 X+2 0 X X+2 2 2 2 X X+2 2 2 X 0 2 2 2 X+2 2 2 X+2 X X+2 2 0 X 0 X+2 X X 0 X 0 0 0 0 2 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 0 0 2 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 0 2 2 2 0 2 2 2 2 2 2 0 0 2 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 2 0 2 0 0 0 0 2 2 0 2 0 0 2 0 0 0 0 2 2 0 0 2 2 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+88x^77+210x^78+290x^79+356x^80+504x^81+585x^82+618x^83+590x^84+594x^85+715x^86+654x^87+612x^88+578x^89+536x^90+346x^91+260x^92+236x^93+91x^94+102x^95+63x^96+40x^97+20x^98+34x^99+30x^100+2x^101+15x^102+2x^103+8x^104+6x^105+2x^106+2x^107+1x^110+1x^114 The gray image is a code over GF(2) with n=344, k=13 and d=154. This code was found by Heurico 1.16 in 65 seconds.