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 2 X 0 X 1 1 2 X 2 1 1 X X 1 0 1 1 1 1 2 1 2 1 1 0 1 X 1 1 1 1 X 1 1 X 1 X 1 0 1 X X 0 X 1 X 1 1 0 0 1 0 X 0 0 0 0 0 0 2 2 X X+2 X 0 0 2 X+2 X+2 X X X X 0 X X+2 X 0 X X+2 2 X+2 2 2 X+2 X 0 0 X 2 0 X X 0 X+2 X 2 X 2 X 2 X+2 X+2 X X X X 0 0 X 2 X 2 X+2 X X 0 0 2 0 X+2 2 X+2 0 X 0 X+2 X+2 X X X 0 X X X X+2 X+2 2 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 2 X+2 X+2 X+2 X X+2 X+2 X 2 2 X+2 X+2 0 0 X X X X+2 X+2 X+2 2 2 X+2 X X 2 2 X X+2 0 2 X 0 2 X+2 0 2 X 2 2 X 0 2 0 0 X X X 0 X X+2 X X 2 0 X+2 0 2 X 0 2 X X 2 2 2 X+2 2 0 X X X+2 0 0 0 0 X+2 2 0 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 X 2 2 0 2 2 2 2 2 X X+2 X 2 X X+2 X+2 X X+2 0 2 0 0 0 X+2 X+2 X X X+2 X X+2 2 X+2 0 X X X+2 2 X X+2 X+2 X+2 X 2 X 2 2 X+2 X+2 2 X 0 X+2 X+2 X+2 X X+2 2 0 0 X X X 2 2 X 2 X X+2 X X+2 0 X 2 2 X+2 X 2 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 X X 0 2 X 0 X+2 X+2 X X+2 X 2 2 X 2 2 0 X+2 2 0 X+2 X X+2 2 0 X+2 X X+2 X X+2 X+2 2 0 2 2 0 0 X+2 0 2 0 X+2 X X X+2 2 0 X+2 0 X X+2 X X+2 2 X 0 0 2 X+2 2 X+2 0 X+2 X 0 X+2 0 2 2 0 2 X+2 X X X X 0 X 0 0 0 0 0 X X 2 X+2 X X+2 2 X X 0 X 0 X+2 X+2 0 X 2 2 X+2 2 X X+2 X+2 2 X 2 2 X+2 0 X X+2 0 0 0 X 0 X X X+2 0 0 0 0 X X X+2 2 X+2 X X+2 0 2 X+2 X 2 2 X+2 0 X X+2 2 0 2 X 0 2 X 2 0 0 X X 2 2 0 X 0 X+2 2 0 0 2 X+2 X 0 X generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+58x^80+152x^81+176x^82+230x^83+283x^84+342x^85+392x^86+494x^87+564x^88+606x^89+632x^90+590x^91+595x^92+606x^93+562x^94+380x^95+355x^96+312x^97+192x^98+152x^99+136x^100+108x^101+68x^102+60x^103+44x^104+40x^105+24x^106+12x^107+9x^108+8x^109+2x^110+2x^111+2x^112+2x^113+1x^132 The gray image is a code over GF(2) with n=364, k=13 and d=160. This code was found by Heurico 1.16 in 8.98 seconds.