The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 X 1 1 X 1 0 1 X 1 1 0 1 1 2 1 1 1 0 1 0 0 X 1 1 1 0 0 1 0 X 0 X 0 0 X X+2 0 2 X X+2 0 X+2 2 X+2 X 0 2 X 2 X+2 0 X+2 0 2 X X 2 0 X X 0 2 X X+2 0 2 X 0 0 X X+2 X X+2 0 X+2 X+2 X 2 2 2 2 X+2 X+2 0 X 0 X 0 0 X X 0 X+2 X X+2 X 2 X+2 X 0 2 2 2 X X+2 X 2 X+2 0 X X 0 X 2 0 0 X X 0 X+2 X 0 2 X X 0 2 X+2 X 2 X 0 X+2 0 0 2 X+2 X 0 X X 2 0 X+2 X+2 2 0 X X 0 0 X+2 2 X+2 2 X X+2 X+2 0 X 2 X 2 0 X 0 X X+2 0 X 0 2 X 2 X+2 X X+2 X X X X 2 2 0 X 2 X+2 0 0 2 X+2 0 X X+2 X+2 X 2 X 0 2 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 0 2 0 0 2 0 2 0 2 0 0 2 0 0 2 2 0 2 2 2 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+34x^78+66x^79+111x^80+106x^81+99x^82+114x^83+359x^84+198x^85+138x^86+194x^87+90x^88+144x^89+64x^90+98x^91+48x^92+46x^93+26x^94+36x^95+20x^96+12x^97+20x^98+4x^99+9x^100+4x^101+2x^102+2x^104+2x^105+1x^146 The gray image is a code over GF(2) with n=344, k=11 and d=156. This code was found by Heurico 1.16 in 0.891 seconds.