The generator matrix 1 0 1 1 1 X+2 1 1 2X+2 1 3X 1 1 1 0 1 1 X+2 2X+2 1 1 1 1 3X 1 1 0 1 1 X+2 1 1 2X+2 1 3X 1 1 0 1 X+2 1 1 2X+2 1 1 1 1 3X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 1 1 1 0 2X 1 0 1 1 X+2 3X+2 1 1 1 1 1 3X 2X 1 X 2 X X 0 1 X+1 X+2 3 1 2X+2 3X+3 1 3X 1 2X+1 X+1 0 1 X+2 3 1 1 2X+2 3X+3 3X 2X+1 1 0 X+1 1 X+2 3 1 2X+2 3X+3 1 2X+1 1 3X X+2 1 X+1 1 0 3 1 2X+2 3X+3 3X 2X+1 1 0 3X+2 0 X 2X 2 X+2 2X 3X+2 2 3X+2 2 3X 2X 2X+2 2X+2 X+2 3X 0 X+1 X+1 1 1 3X+2 1 3X+1 3X 1 1 3X+1 3X 3 2X+3 2X+2 1 X X 1 1 0 X+2 0 0 2X 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 2X 0 2X 2X 2X 2X 0 2X 0 0 0 0 2X 0 0 0 2X 2X 0 0 0 2X 0 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 0 2X 0 0 0 2X 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 2X 2X 0 2X 0 0 2X 0 2X 2X 0 0 2X 0 2X 0 2X 0 0 0 2X 2X 0 0 2X 0 0 0 2X 2X 0 2X 0 2X 0 2X 0 2X 0 0 0 0 0 2X 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 0 2X 0 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 2X 0 0 0 2X 2X 2X 0 0 0 0 2X 0 2X 2X 2X 0 2X 2X 0 0 0 2X 0 2X 0 0 2X 0 0 2X 0 2X 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 0 0 2X 0 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 0 2X 0 0 0 0 2X 0 2X 2X 2X 0 2X 0 2X 0 0 2X 0 0 0 2X 2X 0 0 2X 0 2X 0 generates a code of length 89 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+298x^84+224x^85+528x^86+240x^87+506x^88+608x^89+488x^90+256x^91+411x^92+192x^93+224x^94+16x^95+91x^96+8x^98+2x^100+2x^120+1x^124 The gray image is a code over GF(2) with n=712, k=12 and d=336. This code was found by Heurico 1.16 in 0.797 seconds.