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 2 X 2 0 2 X 1 1 0 X 1 0 1 X 1 1 1 X 1 X 1 1 2 2 1 1 X 1 1 0 1 0 2 1 0 1 X 1 X 1 1 1 1 X X X X 0 0 2 1 1 0 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 2 X 2 2 X X 2 X+2 X+2 X X X 0 2 0 X+2 X+2 X 2 X X X 0 X+2 2 0 X X+2 X+2 X 2 X X+2 0 0 X+2 X+2 0 0 X+2 X 0 X+2 2 X X+2 X 2 2 0 0 X+2 0 0 0 X 0 X X 2 X+2 X 2 X+2 X+2 0 X X 0 2 0 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X+2 0 X 0 X X 0 2 X 2 X+2 2 2 X+2 2 X X+2 X X X X 2 X 2 X X+2 0 0 2 X 2 0 X X+2 X 0 X X 2 2 0 X+2 X 0 2 0 2 2 2 X 2 X 2 X X X+2 2 X+2 X+2 0 0 X 0 2 X X X 2 2 X 0 2 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 0 X 0 0 X X 0 2 X+2 0 X 0 X 2 X X+2 2 2 2 0 2 2 2 X X 2 0 X X+2 X X 0 X+2 X 0 X+2 X+2 X X+2 X+2 0 X+2 X+2 2 X+2 X+2 0 2 X X 0 0 X X 2 0 2 0 2 0 X X+2 X+2 X 0 2 2 2 X 2 2 X 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X X X X+2 2 0 X+2 2 0 0 X+2 X X+2 2 X+2 X 0 0 X+2 X+2 2 X X X 2 X+2 0 X X+2 X+2 2 X X 2 2 0 2 2 X 0 2 0 X+2 0 X X+2 2 X+2 X+2 2 X 0 0 X+2 X+2 X 2 X+2 2 X 2 X+2 0 X 2 X+2 0 X X+2 0 X 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+137x^86+12x^87+368x^88+52x^89+507x^90+152x^91+660x^92+248x^93+734x^94+380x^95+788x^96+380x^97+815x^98+356x^99+648x^100+276x^101+533x^102+104x^103+395x^104+64x^105+197x^106+20x^107+148x^108+4x^109+104x^110+53x^112+41x^114+8x^116+4x^118+2x^120+1x^136 The gray image is a code over GF(2) with n=388, k=13 and d=172. This code was found by Heurico 1.16 in 9.86 seconds.