The generator matrix 1 0 0 1 1 1 X 1 X+2 1 1 2 1 X+2 1 1 1 0 0 1 2 1 X 1 2 X+2 1 1 1 1 X+2 1 1 X+2 1 2 1 2 1 X 1 X 1 1 X+2 1 X 0 1 1 X 1 1 1 X+2 1 1 X 1 1 0 1 2 1 2 1 1 X 1 1 1 X 2 X+2 2 2 1 1 1 X X 1 X+2 0 1 X 1 1 0 1 1 X 0 1 0 0 1 X+3 1 3 0 2 2 1 1 1 X+1 X+2 X 1 X+2 X+1 1 3 X+2 2 1 1 X+3 X 2 X+1 1 X+2 X+3 1 X 0 3 X+2 X+1 1 X 1 X+2 X+3 1 2 1 1 0 X X+2 X+3 X+3 2 0 1 3 2 3 3 1 1 1 X+1 1 X+2 0 1 1 X+1 3 2 1 1 1 1 X+1 3 X+3 1 X+2 X 1 1 X+2 2 3 X+3 1 X 1 1 0 0 1 1 X+1 0 1 3 1 2 X+1 3 0 0 X+1 X X+3 X+3 1 X+2 X X+2 1 X+2 X+3 X X+1 X+3 0 3 X+3 1 0 0 X 1 X+2 1 X+1 0 2 X+1 X+3 X X+3 3 X+2 1 X+2 X+3 1 X+1 2 X+1 1 X+2 X+3 1 X+1 3 2 3 1 X+1 X+2 X X 2 0 1 1 1 0 1 X+3 2 2 2 1 2 1 2 3 3 X+2 1 0 1 X+3 2 X 3 0 0 0 X X X+2 2 X 2 X+2 X 2 X 2 X+2 X X+2 2 0 X 0 X 0 X+2 2 0 X+2 X+2 X X 2 X+2 X+2 0 0 X 2 X+2 0 X+2 2 X+2 0 0 X+2 2 X+2 X 0 2 X 0 2 0 X+2 2 0 X+2 2 0 0 2 0 2 X X+2 X+2 2 X+2 0 0 0 X X+2 2 X+2 X 0 X X X+2 X X X+2 2 X+2 X X+2 0 X+2 0 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 2 0 2 0 0 0 0 2 2 0 0 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 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+231x^84+224x^85+568x^86+340x^87+787x^88+572x^89+782x^90+524x^91+718x^92+444x^93+720x^94+396x^95+473x^96+280x^97+408x^98+164x^99+218x^100+64x^101+116x^102+48x^103+45x^104+12x^105+26x^106+16x^108+4x^109+4x^110+6x^112+1x^116 The gray image is a code over GF(2) with n=368, k=13 and d=168. This code was found by Heurico 1.16 in 5.14 seconds.