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 X 0 1 1 1 1 1 1 X 1 1 1 1 1 1 0 0 1 X 1 1 X 1 0 1 X 1 0 1 1 X 1 1 0 2 0 1 1 1 0 2 0 2 0 1 1 2 1 2 1 X X 1 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 2 X+2 0 0 X X 0 2 X+2 X X X+2 2 X+2 X+2 0 X 2 X X 0 0 0 2 0 X X+2 X+2 0 X+2 X X X+2 0 X 0 2 2 0 2 X+2 2 X+2 X X X 2 X 2 X+2 X X X 0 X+2 2 X+2 2 0 X X X X X+2 2 X 0 X+2 X+2 X 0 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 2 X+2 X+2 2 X X+2 2 X 0 X 0 2 X 0 2 2 X X 2 0 X X X+2 X+2 0 2 X X 2 X+2 X X X 0 X 0 X+2 X+2 X+2 X+2 2 X X+2 2 2 0 0 X+2 X X X X 2 X X 2 0 X X 2 2 0 X+2 0 2 X X 2 2 X+2 2 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X 2 X+2 2 2 0 X+2 X X+2 X+2 X+2 2 X+2 2 2 2 2 0 X+2 X 0 2 X 0 X+2 X+2 X+2 X+2 X 2 2 0 2 X X X+2 2 2 X X+2 X+2 X+2 0 X X 0 2 X X 2 X X 2 2 X+2 2 X+2 X+2 X X X 0 0 X 2 X 2 X X X 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 2 2 0 0 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 0 2 2 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 0 2 0 2 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+160x^84+16x^85+278x^86+64x^87+345x^88+136x^89+380x^90+200x^91+485x^92+208x^93+446x^94+176x^95+344x^96+136x^97+214x^98+72x^99+148x^100+16x^101+82x^102+81x^104+52x^106+30x^108+18x^110+5x^112+2x^114+1x^140 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 2.6 seconds.