The generator matrix 1 0 0 0 1 1 1 1 3X 1 X+2 1 1 X+2 2X+2 1 0 1 1 X+2 1 1 3X 2 1 1 1 2X 2X+2 3X+2 1 1 X 0 2 1 1 0 1 X+2 2X 1 X 1 3X+2 0 1 X+2 1 1 1 1 1 2X 3X 2X+2 1 X 1 0 1 1 2 3X+2 1 1 2 2 1 X 1 1 1 0 X+2 1 3X+2 1 3X+2 2X+2 2X+2 X+2 X+2 1 1 X 1 3X+2 3X 2 0 3X 0 1 0 0 0 2X+3 2X 3X+3 1 2X 2 X+3 3 1 1 3X+2 2 2X 0 1 3X 3X+3 3X 1 X+1 1 2X+3 1 1 X+2 1 1 1 1 1 3X X 3X+2 0 1 X+2 X+2 1 3X 1 1 3 0 X+3 1 X 3X X+1 2X+2 1 1 2X+1 1 X+2 2X X+2 3X+3 2X X 2 3X+3 3X 1 2 2X+2 2X+2 X+3 2X 1 X+2 X+2 1 X+3 1 1 1 1 1 2X+3 X+3 1 2X+1 0 2X+2 X 1 X 0 0 1 0 2 2X+2 2X+3 1 X+3 2X+1 1 X 3 X 3 3X+2 1 3X+3 X+1 X+1 2X+2 X+3 1 X+3 3X 2X+1 3X 2 3X+2 0 2 2X 2X+1 X 3X+1 X 3X+3 1 0 2X 2X+2 X+1 3 3X+3 0 X+1 2X+1 1 X 3X+1 2X X 2X+1 1 0 2X+2 2X+2 X+2 1 X+2 0 2X+2 1 1 X+2 3X+1 1 3X 2X+3 1 2X+3 0 3X+3 1 1 X+2 2X+2 2X+2 3X 3X+2 3 3X+3 X 3 3X+3 2X+3 1 2 2X 1 3X+3 2 0 0 0 1 X+3 3X+1 X+1 3X+3 X X X+3 2X X+2 3X+1 1 0 1 2X+2 2X+3 2X+3 X+3 X+1 X 3X 3X 2X+2 3X+3 3X+2 X+3 1 2X+1 2X 3X+2 3X+2 2X+2 3X+2 0 X+1 1 X+3 1 3X+2 X+3 2X+3 3 2X+3 1 2X 3X+1 X X+2 2X+1 0 X+2 3X+2 1 X+2 1 2X+2 1 3X+3 X+1 X+1 2X+1 3X+2 0 3X+2 X 3X+2 3X+2 2X+2 1 X+3 X+2 2X+3 X+1 3X 2 2X 2X+1 2X+2 2X+3 3X+3 2X 2X+1 3X+1 3X+2 1 1 3X+1 2 1 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 0 0 0 2X 2X 0 0 0 2X 2X 0 2X 0 0 2X 2X 0 2X 2X 0 2X 0 0 0 0 0 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 2X 0 2X 2X 0 2X 0 0 0 2X 0 0 2X 0 0 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 generates a code of length 92 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+840x^84+1916x^85+4406x^86+5260x^87+8431x^88+9956x^89+13829x^90+12808x^91+16097x^92+13900x^93+13744x^94+9796x^95+8245x^96+4744x^97+3711x^98+1568x^99+1016x^100+384x^101+213x^102+72x^103+75x^104+12x^105+28x^106+11x^108+5x^110+4x^112 The gray image is a code over GF(2) with n=736, k=17 and d=336. This code was found by Heurico 1.16 in 297 seconds.