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 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 0 1 2 1 2X+2 1 1 0 X 1 2X 1 X 1 1 2 1 0 1 2X 1 X X 2X+2 0 1 X 1 0 X 0 3X+2 2 X+2 2X+2 X 0 X+2 2X X+2 3X 2 2 X 0 X+2 2 3X 2X 3X 2X 3X X+2 0 3X 2 X 2X X+2 2X+2 0 3X+2 0 X 3X+2 2X+2 X 2X+2 2X+2 3X+2 0 X+2 2X 0 X+2 X+2 X 2X 3X+2 X 2 2 X X+2 2 3X+2 X+2 3X 0 2 0 3X+2 2 2X+2 X 2X X+2 X 3X+2 X 3X+2 X 0 2X+2 X X 2X+2 X X+2 3X X X+2 2X+2 3X+2 X 2 X 2X+2 3X X X X X+2 X+2 0 0 0 2X+2 0 2 0 2X 0 2 2 2X 2X+2 2X+2 2X+2 0 2 0 2X+2 2X 2X+2 2 2X 2 0 0 0 2X+2 2X+2 0 2 2 0 2X 2X 2X+2 0 2X+2 2X 2X 0 2 2 2X 2X+2 2X+2 2X+2 2X+2 2X 2 2X 0 2 2 2 2X+2 2X 2X 2X 2X+2 0 0 0 2X+2 2 2 2X+2 2 2X+2 2X+2 2X+2 2X 2 2 2 0 2X 0 2X 0 2X 0 2 2X 2X 2 0 0 0 2X 0 0 2X 2 2 2 0 0 0 0 0 2X+2 0 2X 2X 2 2 2 2 0 0 2 2X+2 2 2X 2X+2 2X+2 2X 0 2X+2 2X+2 2X 0 2X+2 2 2X+2 2X+2 0 2X 2X 0 2 0 0 2 2 2X+2 2 0 0 2X 2X+2 2 2X+2 2X 2X 2X 2 2 2X+2 2X+2 2X 2 2 0 0 2 2X 2 0 2X 0 2X+2 2 2X 0 0 2 0 2X 2 2 2 2X 0 2X+2 0 2X+2 2X+2 2 2X 2X 0 0 2 2 2 2X 2X 2 2X 0 0 0 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 0 0 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 0 0 0 0 2X 2X 2X 0 2X 0 0 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 0 0 2X 0 2X 2X 0 0 0 2X 0 2X 2X 0 0 2X 0 2X 0 0 2X 0 0 0 2X 0 2X 0 0 generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+52x^90+106x^91+208x^92+260x^93+380x^94+338x^95+546x^96+456x^97+515x^98+322x^99+338x^100+176x^101+183x^102+80x^103+52x^104+26x^105+11x^106+16x^107+6x^108+8x^109+8x^110+2x^111+1x^112+2x^113+2x^114+1x^158 The gray image is a code over GF(2) with n=776, k=12 and d=360. This code was found by Heurico 1.16 in 2.05 seconds.