The generator matrix 1 0 0 0 1 1 1 1 2 1 X+2 1 2 1 0 1 2 X+2 X 1 1 1 2 0 1 X 1 X+2 1 1 1 1 1 X 1 1 0 1 1 0 X+2 2 2 1 1 1 1 1 0 X 1 2 X 1 X 1 X+2 X 1 1 X+2 1 1 1 X 1 1 2 1 X X 2 1 1 2 0 1 1 X 1 1 1 X+2 1 1 X 1 1 1 1 1 1 X+2 1 1 X+2 1 X+2 0 1 0 0 0 2 1 3 1 2 0 X+1 1 1 1 0 1 1 1 X+1 X 0 X 0 X+3 X+2 X+2 1 X+3 X X+1 X+3 X 1 3 X+1 1 0 3 1 2 1 0 X X+3 X+1 X+2 X+2 1 2 0 1 X+2 0 1 2 1 X+2 X+2 X+3 0 X 2 3 1 X X+3 1 1 1 1 1 X+3 2 1 1 X+3 X+1 X 3 1 X 1 1 X+3 X X+3 X+2 X 3 X+2 3 1 X 1 1 X+2 2 0 0 1 0 0 3 2 1 1 1 1 1 X 0 X+1 X+2 X+3 X+3 2 2 X X+3 X 1 X+3 1 X+1 X+2 3 0 2 1 X+3 1 0 X+2 X+2 2 2 0 1 3 1 3 1 1 3 3 X+2 X X+2 X+3 1 X+1 X+2 2 X+3 0 0 3 1 0 X+1 X+2 X+1 2 2 X+3 2 X+1 X 0 2 X X+2 X X X+2 1 X+1 2 0 X+2 1 X+1 1 3 2 0 0 X+3 1 3 0 X+2 3 X+3 1 0 0 0 1 1 1 3 2 1 0 X+1 3 X+3 X+2 X X+1 0 X+3 X X X X+2 1 X+1 3 2 3 1 X+2 X+1 1 X+1 0 0 3 X X+2 X+2 X 1 0 X+3 1 X+3 2 X+1 3 0 0 1 0 2 X+2 2 1 X+3 3 1 X+3 1 3 X+2 X+3 2 2 2 X+2 3 X+3 X+2 0 X+3 X 0 1 1 X+1 X+2 1 X+1 X+1 X X+2 0 X X 2 0 3 2 2 3 X+2 X+1 X+1 X+3 2 1 0 0 0 0 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 X X+2 X+2 X X+2 X+2 X+2 X X+2 X X X X+2 X X+2 X+2 X+2 X+2 X+2 X+2 X+2 X 0 X+2 X X 0 X+2 X+2 X+2 X X X X+2 X 0 X+2 2 X+2 X X+2 2 2 2 2 X+2 0 0 X 2 X X X+2 X+2 X X X 2 X 0 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+280x^89+444x^90+734x^91+802x^92+1096x^93+1075x^94+1144x^95+1103x^96+1238x^97+1192x^98+1254x^99+1001x^100+1070x^101+800x^102+840x^103+623x^104+502x^105+340x^106+330x^107+185x^108+136x^109+81x^110+42x^111+25x^112+24x^113+4x^114+6x^115+4x^116+6x^117+2x^119 The gray image is a code over GF(2) with n=392, k=14 and d=178. This code was found by Heurico 1.13 in 7.85 seconds.