The generator matrix 1 0 0 1 1 1 X+2 1 X 1 1 X 1 2 1 1 1 1 0 X 2 1 1 1 2 1 0 X 1 1 2 1 X+2 X+2 1 1 X+2 1 0 1 X+2 1 1 1 2 1 X+2 1 1 1 0 0 1 1 1 0 2 1 1 1 1 1 1 1 X+2 1 0 1 1 X+2 1 X X+2 1 0 1 0 2 1 1 2 X X+2 2 1 X 1 1 1 X+2 1 1 1 2 0 1 X 0 1 0 0 1 X+1 1 2 0 2 X+3 1 3 1 0 0 1 X+1 1 1 2 0 2 3 2 3 1 1 0 X+3 2 2 1 1 3 X+1 1 X X 0 1 X X+2 3 1 3 2 X+1 1 1 1 1 X+2 2 X 1 X X X+3 2 X 0 X X+3 1 3 1 1 X+2 1 X 1 1 X 1 2 1 1 X+3 1 1 X+2 1 1 X 2 X+2 X+3 X+1 1 0 X+1 X+1 1 0 X+1 1 0 0 1 1 1 2 3 1 1 0 X+3 2 2 1 X+1 0 0 3 0 1 1 X+3 X+2 X 1 1 X+2 3 X+1 X+2 1 X+2 X+2 X+3 1 3 X X+1 1 X X+2 X+3 0 X X+1 0 1 X+3 3 2 X+2 X+3 X+3 X 2 1 1 X+1 2 1 X+3 X+2 0 1 3 X+3 X+1 X+3 X+3 X+2 1 X+1 3 3 3 0 2 X 3 X+3 3 1 X+3 X+2 X+1 1 1 X X+3 X 1 X+1 X+3 X+2 1 X 2 0 0 0 X 0 0 0 2 0 0 0 0 0 0 2 X X+2 X X X X+2 X+2 X+2 X X+2 X+2 X X 2 0 0 X+2 X+2 X+2 2 X+2 2 X X+2 0 2 X+2 X+2 X 2 2 X X+2 2 2 X+2 X+2 2 2 0 2 0 X X X 0 0 X+2 0 2 2 X 0 X+2 0 X 0 X+2 2 X+2 X+2 0 X X+2 X X+2 0 2 0 2 0 2 2 0 X 2 X+2 X+2 0 2 X 2 0 0 0 0 X 0 X X+2 X+2 X+2 0 X X+2 2 0 X 0 0 X+2 2 X+2 X+2 2 X 0 X 0 X+2 X+2 X X+2 X+2 0 2 2 X X+2 X 0 X+2 2 0 2 2 2 0 X+2 2 X X+2 X X+2 2 X 2 X+2 0 0 X+2 X 0 2 X 2 0 X+2 2 2 X 0 0 0 X+2 2 2 X X X+2 2 0 X+2 0 X X X+2 X X 0 X 0 X X+2 X X+2 X+2 X+2 X 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+190x^89+312x^90+532x^91+496x^92+664x^93+575x^94+726x^95+624x^96+728x^97+458x^98+564x^99+350x^100+452x^101+299x^102+386x^103+236x^104+188x^105+151x^106+108x^107+36x^108+38x^109+20x^110+14x^111+15x^112+6x^113+5x^114+4x^115+2x^116+6x^117+2x^118+2x^119+2x^122 The gray image is a code over GF(2) with n=388, k=13 and d=178. This code was found by Heurico 1.16 in 72.6 seconds.