The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 X 0 1 1 X 1 1 1 1 2 1 1 X 1 1 2 1 2 1 1 1 1 1 X 1 X 1 X 1 2 1 1 1 1 1 X 2 1 1 1 1 1 1 1 0 1 1 1 X+2 X+2 1 1 2 X+2 1 1 X 1 1 0 1 1 1 X X 1 0 1 1 1 X 1 1 1 X 1 1 1 0 1 1 0 X+3 1 X+1 X+2 1 2 3 1 X X+3 1 1 X+3 X+2 1 3 X 3 0 1 X+2 3 1 X+3 0 1 1 1 X+1 0 3 X+3 X 1 X+2 1 1 1 2 1 X+3 0 X+2 3 X+2 1 1 1 X+1 0 X+2 3 X X 1 X+1 X+2 0 1 1 2 X+1 1 1 3 X+2 1 3 2 1 X+3 3 X+3 1 0 X+1 1 1 3 X 1 2 X+1 X 1 X+3 0 0 0 0 X 0 X+2 0 2 2 X X+2 0 X+2 X+2 2 0 X+2 X+2 X+2 X 2 0 X+2 X 2 X+2 2 X 0 2 X X+2 0 2 X+2 X+2 X X+2 0 0 X X 2 X X 2 0 2 X+2 X X X X 2 X X+2 2 X 0 2 2 2 2 2 0 0 X+2 X+2 0 0 0 0 X 0 X+2 X 2 X+2 X+2 2 2 X+2 X+2 X X+2 X 2 0 0 0 X+2 X+2 X 0 0 0 X 0 0 0 2 2 2 2 0 2 X+2 X+2 X X X+2 X X+2 X+2 X+2 X X 0 2 X 2 0 X 0 X+2 X X+2 X X 2 2 X+2 2 0 X+2 0 X+2 X+2 0 X+2 0 0 2 X X+2 0 X+2 X+2 X X X+2 2 X+2 0 X+2 X+2 2 0 0 2 X X 2 0 X+2 X X+2 X+2 2 X+2 2 X+2 X X 2 2 X+2 X+2 0 0 X X+2 X X+2 X 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 0 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+56x^84+156x^85+216x^86+306x^87+357x^88+304x^89+291x^90+296x^91+304x^92+296x^93+296x^94+284x^95+233x^96+224x^97+173x^98+124x^99+52x^100+22x^101+36x^102+10x^103+16x^104+14x^105+8x^106+4x^107+6x^109+2x^110+4x^112+2x^113+1x^118+1x^120+1x^126 The gray image is a code over GF(2) with n=368, k=12 and d=168. This code was found by Heurico 1.16 in 1.84 seconds.