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 X 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 2 1 1 1 0 1 1 0 1 1 1 X 0 2 1 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 2 X 2 X 2 X 0 X+2 0 X+2 0 X+2 2 X 0 X+2 2 X 0 X+2 0 X+2 2 X 0 X+2 2 2 X+2 X X+2 0 X+2 0 X 2 X+2 0 X X+2 X 0 X+2 0 X 2 0 0 X X X+2 0 2 2 2 2 2 0 X+2 2 2 0 2 X X+2 0 X X X X X+2 X 2 X+2 0 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 0 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 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 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 2 0 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+148x^84+44x^86+265x^88+372x^90+513x^92+292x^94+191x^96+44x^98+118x^100+16x^102+36x^104+5x^108+2x^112+1x^168 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 6.1 seconds.