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 X 1 1 0 1 1 1 1 1 0 1 1 1 1 2 1 1 1 X 1 1 1 0 1 1 X 1 1 1 1 X 0 1 2 1 1 1 X 1 1 0 0 2 0 1 1 2 0 0 1 1 1 1 1 X 1 0 X 0 0 0 0 0 0 2 X X+2 X+2 X X X+2 X+2 2 2 0 X X X+2 X 0 X X 0 X+2 X 2 2 2 X+2 X+2 0 X+2 2 X+2 X+2 X+2 X X+2 0 2 2 0 2 X+2 0 0 0 0 X+2 2 X+2 0 X X 2 X X X+2 X X 2 X 0 2 X 2 X 0 X+2 0 2 X 0 2 X X 0 0 2 0 2 X 2 0 0 X 0 X 0 0 0 X 0 0 0 X X+2 X+2 X X 2 X X 2 0 2 X+2 X+2 X+2 0 X X+2 X+2 0 X+2 X+2 2 2 0 0 2 2 X+2 0 X+2 2 X+2 2 X+2 X+2 X 2 X+2 0 X X 0 2 X 0 0 2 X+2 0 X X X+2 X+2 2 2 0 X+2 2 0 0 X+2 X+2 0 2 X X 0 X X X X+2 X X+2 X+2 X X X 0 2 0 X X 2 X+2 0 2 X+2 0 0 0 X 0 X X X 0 2 0 X X+2 X+2 X 2 2 0 0 0 2 2 X+2 X X+2 X X 0 X 2 X+2 X+2 X+2 X X+2 X+2 X X+2 0 2 X X+2 0 0 X X+2 X+2 0 0 X+2 X X 0 2 X+2 X+2 2 0 0 X 2 X X+2 2 2 X 0 2 X+2 2 X 2 0 X 0 X+2 X X X+2 2 2 0 X 2 X X+2 X 0 X+2 X X 0 0 0 0 0 0 X X 2 X+2 X 2 X 0 X 0 X X X+2 X+2 0 2 X X 2 0 2 X+2 X+2 0 X 0 2 X X+2 X X+2 X+2 0 2 0 X 2 0 2 2 2 X+2 X+2 0 X 0 X X+2 X 2 X+2 2 0 X X+2 0 0 2 X X+2 2 0 X 0 X 2 X+2 2 X 0 X+2 0 X 2 X X 2 X+2 0 X 2 X X 0 X 0 X+2 X+2 X 0 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+136x^84+276x^86+36x^87+406x^88+156x^89+406x^90+192x^91+405x^92+232x^93+448x^94+260x^95+354x^96+108x^97+190x^98+24x^99+162x^100+16x^101+120x^102+69x^104+48x^106+32x^108+16x^110+2x^112+1x^148 The gray image is a code over GF(2) with n=372, k=12 and d=168. This code was found by Heurico 1.16 in 2.4 seconds.