The generator matrix 1 0 1 1 1 2 1 1 0 0 1 1 1 0 1 2 1 1 0 1 1 1 0 1 1 X 1 X 1 X 1 1 X 1 1 1 1 0 1 X+2 1 1 2 1 1 1 1 1 0 X 1 0 1 X+2 1 1 1 1 0 1 X+2 1 1 1 1 0 1 2 1 X 1 1 1 2 1 1 1 X+2 1 1 X 1 1 2 1 2 X 1 X+2 1 1 X X+2 1 1 1 1 0 1 1 0 1 1 2 X+1 1 1 0 X+3 3 1 0 1 2 1 1 1 0 3 1 X X+1 1 X 1 X+3 1 X X+1 1 0 3 X+1 X+2 1 X+1 1 0 X+1 1 X 3 X+3 X 3 1 1 X 1 X+2 1 1 X+2 3 X+2 1 1 1 0 2 3 X 1 X X 1 2 0 X X+3 1 1 0 X+2 1 1 2 X+2 X+1 3 1 2 1 1 X+1 1 1 X+1 1 1 1 0 2 0 0 0 X 0 0 0 0 2 2 2 0 0 2 X X+2 X+2 X X+2 X+2 X X+2 X+2 X+2 X+2 X+2 2 0 X+2 X+2 0 2 0 0 X+2 0 0 X+2 2 X+2 X+2 2 X+2 X 0 X 2 X+2 0 2 X 2 X+2 0 X X X X+2 X 2 2 X X+2 2 2 2 2 X+2 0 X+2 X+2 X X 0 X+2 X X+2 2 2 0 0 X+2 0 X+2 X+2 0 X X+2 0 0 0 X+2 2 0 2 X+2 2 0 0 0 0 X 0 0 2 2 X X X+2 X+2 X+2 X+2 2 X+2 X+2 X+2 2 X X 0 0 0 X+2 0 0 2 X 2 0 2 X+2 X+2 X+2 0 2 X X X X+2 0 0 X 2 X 2 X+2 2 2 X+2 X 2 X+2 2 X X X X+2 2 X+2 2 X 2 X+2 X+2 X+2 X X 2 2 X X+2 2 0 2 2 0 0 2 X+2 X+2 0 X X X X+2 X 2 2 X 2 0 X 0 X+2 2 0 0 0 0 X X+2 X+2 2 X+2 0 X+2 0 X 2 X+2 X+2 X 0 X X+2 2 X 2 2 2 X+2 X+2 X+2 X 2 2 X 0 X X 2 X X 0 X+2 0 0 X 0 X+2 X 2 2 0 2 X+2 0 0 X X X+2 X 0 2 X+2 2 0 X+2 2 0 0 0 2 0 2 X+2 X X+2 2 2 X X X 0 0 X X 0 X X+2 0 X+2 0 X X+2 X+2 0 2 X X+2 2 2 generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+58x^89+169x^90+258x^91+291x^92+276x^93+341x^94+346x^95+288x^96+320x^97+275x^98+250x^99+271x^100+258x^101+204x^102+148x^103+98x^104+80x^105+54x^106+20x^107+30x^108+6x^109+9x^110+10x^111+6x^112+6x^113+4x^114+4x^115+4x^116+4x^117+4x^119+2x^124+1x^128 The gray image is a code over GF(2) with n=388, k=12 and d=178. This code was found by Heurico 1.16 in 1.85 seconds.