The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 X 1 1 0 0 1 1 1 X+2 1 1 X 1 1 0 1 1 2 1 1 1 X+2 0 1 1 1 1 X X 1 1 1 2 1 1 1 2 1 2 1 1 1 1 1 1 1 1 0 1 X+2 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 X 0 2 X X X X+2 2 1 1 2 1 0 1 0 2 0 1 1 0 1 1 1 2 X+1 3 X 1 X+2 X+3 1 1 X 1 1 1 0 X+1 1 X+2 X+1 1 2 X+3 1 X X X+1 1 1 3 X+1 X 0 1 1 X+3 X 3 1 0 X+2 X+3 1 2 1 0 1 1 1 X+3 X+1 X X 1 X 1 X+3 2 X+2 X X+1 0 0 1 X+3 2 3 1 X+1 1 X 1 2 1 X 1 X+2 1 1 0 2 1 0 X 0 1 2 0 0 X 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 2 X X X X+2 X X+2 X+2 X+2 X+2 X X X X X X+2 X+2 2 X+2 X+2 X+2 X 0 2 X+2 X+2 0 X+2 X X 0 X+2 X+2 2 X X+2 X+2 X+2 X+2 2 X+2 2 X X+2 2 2 X+2 0 X+2 X+2 X 2 2 X+2 0 2 X X+2 0 2 X+2 X X X X+2 X 0 0 0 X 0 0 0 2 2 2 0 2 0 2 X+2 X X X+2 X+2 X+2 X X+2 X X X+2 X+2 0 X+2 X X+2 2 2 0 X X X+2 X 0 X+2 X 2 X+2 0 0 0 X X+2 0 X+2 0 X X+2 X+2 0 2 2 0 2 0 2 X 2 X 0 0 0 X+2 0 X+2 2 X 2 2 0 X 2 0 2 X X+2 2 2 X+2 0 X X+2 0 X+2 X 2 X+2 X 0 0 0 0 X 0 X+2 X+2 2 0 X X+2 2 X+2 X 0 X+2 0 X+2 2 X+2 X+2 X 2 2 2 X+2 X X+2 X+2 2 X X 0 0 0 2 X X 2 X 2 2 0 X 2 X+2 2 X X 0 2 X+2 X+2 X+2 0 2 X+2 X+2 X 2 2 X+2 X 0 0 X 2 X+2 X 2 2 2 X+2 X X+2 X+2 X X X 0 X X+2 X 2 2 X 2 0 0 X X 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 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+116x^83+228x^84+308x^85+452x^86+502x^87+515x^88+584x^89+585x^90+588x^91+639x^92+636x^93+595x^94+548x^95+482x^96+372x^97+324x^98+244x^99+145x^100+104x^101+55x^102+32x^103+31x^104+30x^105+23x^106+16x^107+4x^108+12x^109+13x^110+2x^111+2x^112+2x^113+1x^118+1x^120 The gray image is a code over GF(2) with n=368, k=13 and d=166. This code was found by Heurico 1.16 in 55.1 seconds.