The generator matrix 1 0 0 0 1 1 1 1 2X 1 2 2X 1 X 1 1 1 X+2 1 X 0 1 X 1 1 X+2 3X 1 3X+2 1 1 0 3X 1 X 1 1 1 1 1 0 X+2 2X+2 1 X+2 2X 2X 1 0 3X+2 1 1 1 1 1 1 1 1 2 1 2X+2 1 1 0 2 1 2X 1 X 2X+2 2 1 1 1 1 1 3X+2 1 1 1 1 1 3X+2 2 1 1 0 1 0 0 X 3 2X 1 1 3X X+2 1 3X+3 1 X+3 2X 3X+3 2 X+3 1 1 X+1 1 0 X 1 0 2X 2 3 3X+3 1 1 X 1 3X+2 2X+3 X+3 2X+3 2 X+2 1 1 0 3X+2 3X+2 2X+2 3X+1 1 1 3 0 X+3 X+3 X+1 3X+2 X+3 2X+1 2X+2 3X 3X+2 2 2 1 0 2X+3 1 2X+1 2 2X 1 2 2X+1 2X+3 X+2 2X+2 1 3X+1 X+3 3X+2 X X+1 2X+2 1 3X 2 0 0 1 0 0 2X 2X+3 3 2X+3 3 1 X+3 2X+1 2 0 3X+1 X+1 1 2X+3 3X+2 3 3X 1 2X+2 2 2X 1 3X+3 X X+2 X+1 2X+3 X+1 X+1 X 3X 3X+3 X 2X 3 2X+2 X+1 2X 1 1 1 1 3X+2 3 2 3 3X+1 3X+2 2X 3X+3 0 3X+3 X+2 1 0 3X+2 X+1 X+2 X+1 1 2X+3 3X+2 1 X+2 3X X+2 X+2 X+1 2X+3 X 2X+1 X+1 2X 2 2X 2X+1 0 1 X+2 3X+1 2X+3 0 0 0 1 1 3X+1 X+1 2X 3X+3 X 3 X 3 1 X+2 3X+2 X+3 1 2 3X+3 3X 2X+3 X+3 2X+3 2X 2 2 2X+1 1 2X X+2 2X+2 X+1 3 2X+3 X+1 X+3 3X+2 3 3X 1 3 3X 2X+2 3X+2 3X+2 1 X+1 0 2X+2 2X 3X+3 2X 0 2 3X X+2 X X+3 X+1 1 X+3 X+2 3 3X+2 1 2 X+2 1 1 3X X+1 3X+1 3 2X+1 2X+1 3X+2 2X+2 2X+1 2X+3 2X 3X+3 X+1 X+1 2X+3 X 0 0 0 0 2 0 0 0 0 2 2 2X+2 2 2 2X+2 2X+2 2X+2 2 2X 2 2X+2 2X 2X 2X+2 2X 2X 0 0 0 2X+2 0 2X+2 0 2X+2 2X 0 2X 2X 2 2X 0 2 0 2X+2 2X+2 0 2X 2 2X 2X+2 2 2X 0 2 2X 2X 2 2 2X 2X 2X+2 0 2X+2 2X+2 2X 2X 0 0 2X+2 2 2X+2 2 2 0 0 2 2X 0 2 2X+2 0 2 2 2X 0 0 generates a code of length 86 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+516x^77+1732x^78+3690x^79+6712x^80+10292x^81+15564x^82+20228x^83+25996x^84+29812x^85+31521x^86+30988x^87+27176x^88+20908x^89+15482x^90+9500x^91+6060x^92+3190x^93+1504x^94+728x^95+243x^96+134x^97+74x^98+46x^99+16x^100+10x^101+11x^102+2x^103+4x^104+2x^105+2x^107 The gray image is a code over GF(2) with n=688, k=18 and d=308. This code was found by Heurico 1.16 in 816 seconds.