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 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 2 1 1 X 1 1 1 1 1 0 1 2 1 1 1 1 X 2 1 X 1 X 1 1 X 2 2 1 1 2 1 X 2 1 0 X 0 0 0 X X+2 X 2 0 X+2 2 X+2 X 0 X X X 0 X+2 X 2 0 0 X X+2 X+2 0 2 X 0 2 2 X 0 2 0 X X 2 0 X+2 2 X X X+2 X 0 2 2 0 2 X+2 X 0 X+2 X+2 X X X+2 2 2 2 X X 2 X+2 0 X 2 2 2 X 2 X 0 2 2 X X+2 2 2 2 X+2 X X X+2 X 2 X 2 X+2 2 X X+2 X 2 0 0 X 0 X X X 0 2 0 X+2 X 0 2 X X+2 0 X+2 2 X 0 2 X X+2 0 X 2 2 X X+2 X+2 2 2 X 0 0 X+2 X 2 X+2 X 0 0 2 X+2 2 X 2 X X X+2 2 2 X+2 0 X 0 X X 0 X X X 2 X 0 X+2 X+2 X+2 X 0 0 0 2 X 2 X+2 2 2 0 0 2 X 0 X+2 0 2 2 2 2 X 2 X 2 X+2 X 2 0 0 0 X X 0 X X+2 0 X+2 X 2 2 X X+2 0 X+2 X 0 2 2 X X 0 0 X X X+2 X+2 2 2 0 0 0 2 X 2 X 0 X+2 0 X X 2 X+2 X X X 2 X+2 X+2 2 X X+2 2 2 2 0 2 0 X 2 X X+2 0 0 X+2 X X 0 X X+2 0 X+2 X 0 2 2 X+2 2 X X+2 0 0 0 0 0 X X 2 0 2 0 2 X 2 X+2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2 2 generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+50x^89+90x^90+88x^91+98x^92+138x^93+177x^94+156x^95+176x^96+190x^97+195x^98+180x^99+138x^100+110x^101+56x^102+48x^103+20x^104+12x^105+36x^106+28x^107+8x^108+8x^109+15x^110+12x^111+3x^112+4x^113+6x^114+4x^116+1x^162 The gray image is a code over GF(2) with n=388, k=11 and d=178. This code was found by Heurico 1.16 in 1.2 seconds.