The generator matrix 1 0 0 0 1 1 1 X X+2 1 1 1 X+2 0 1 0 1 0 1 1 X+2 1 1 1 X+2 1 1 2 0 1 X X 0 X+2 2 1 1 X+2 1 X+2 2 1 X 2 1 1 1 1 1 X+2 1 2 1 1 0 1 X+2 0 1 1 1 X+2 1 1 1 1 1 X 1 1 1 1 X+2 1 1 0 X 0 1 1 1 2 X X 2 2 0 1 X 1 0 1 0 1 0 0 X 0 X+2 X+2 1 3 3 3 1 1 X+1 X+2 X+1 1 X 3 1 0 X+3 X 0 2 X+1 0 X 1 1 X+2 1 1 1 X X+1 2 X+2 1 1 3 1 X 0 X+2 X+1 2 0 X X+3 0 X+1 X+2 1 1 2 2 X+2 X 1 1 2 X+2 X+3 X+2 3 2 X+1 2 X 2 1 X X+1 X X X+2 0 2 X+1 1 1 1 1 1 1 3 0 X+1 1 1 0 0 1 0 X 1 X+3 1 3 X+2 3 2 0 X+3 1 1 X 2 2 1 0 3 1 0 1 X+1 X+2 1 X+2 1 X+1 1 X+2 3 1 1 0 X 3 2 X+2 X X+3 1 0 X X+3 X 3 1 X+1 1 X+1 0 0 X+1 X X X+3 X+3 X X X+3 0 X+2 1 X+1 2 0 2 X 2 1 X 1 1 1 0 X+2 X+1 X+2 X 3 1 X 0 X+1 X 1 X+3 1 X 0 0 0 1 X+1 1 X X+3 0 2 0 X+3 X+3 X+1 3 0 1 X 0 X+3 1 X+3 X+2 1 3 X+2 X X+2 1 X+3 X+3 1 1 X+2 3 X+3 X+1 1 X X X+3 X+2 X 1 X+2 1 2 0 X 0 0 X+1 3 2 2 X+3 1 1 X+1 X+2 X+1 X+3 3 3 3 0 1 1 0 X+3 0 X 2 3 3 3 2 1 X X+2 X+1 3 X+3 X+1 2 X+2 X+3 X+2 X+2 2 X X+1 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 0 2 2 2 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+198x^83+431x^84+720x^85+836x^86+914x^87+1170x^88+1208x^89+1268x^90+1188x^91+1155x^92+1176x^93+1130x^94+1052x^95+870x^96+808x^97+676x^98+504x^99+412x^100+278x^101+162x^102+96x^103+51x^104+26x^105+22x^106+14x^107+6x^108+2x^109+2x^111+6x^113+2x^114 The gray image is a code over GF(2) with n=368, k=14 and d=166. This code was found by Heurico 1.16 in 17 seconds.