The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 1 0 1 1 0 0 1 0 X 1 1 1 1 1 2 1 0 X X 2 0 1 X X 1 X 1 X X 0 X 0 X 0 0 X X+2 0 2 X X+2 0 X X 2 2 X+2 X+2 2 0 X+2 0 X+2 X+2 X 0 2 0 X+2 X 0 2 X 0 X 0 X X+2 2 X+2 2 X 2 X 0 0 X+2 0 X X+2 2 2 X+2 2 X+2 X X+2 X+2 0 X 0 X+2 X+2 0 2 2 X X 2 0 2 X X+2 X 2 0 X 0 X X 0 2 0 X X+2 X+2 X+2 X X 0 2 0 0 X X 0 X+2 X 0 2 X X 0 0 X+2 2 X+2 2 0 X+2 X 2 X X 0 0 X X+2 0 2 2 X X+2 X+2 2 2 0 2 X+2 X X X+2 X+2 0 0 X X 0 0 X+2 X+2 X+2 0 X+2 2 2 2 X 2 X+2 0 2 X+2 0 X+2 X X+2 X+2 0 0 X+2 X X X 2 2 X+2 X X 2 X X+2 X+2 X X X X 2 X X 0 X+2 2 0 0 0 2 0 0 0 2 2 2 0 0 2 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 0 0 2 0 0 2 0 0 2 0 2 0 2 2 0 0 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 2 2 2 0 2 0 0 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 2 0 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+92x^84+4x^85+184x^86+44x^87+163x^88+92x^89+264x^90+116x^91+256x^92+124x^93+188x^94+84x^95+165x^96+36x^97+74x^98+12x^99+53x^100+38x^102+31x^104+14x^106+6x^108+6x^110+1x^148 The gray image is a code over GF(2) with n=368, k=11 and d=168. This code was found by Heurico 1.16 in 1.07 seconds.