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 2 X 2 X X 2 1 0 1 X 1 X 1 2 1 1 1 2 1 1 1 2 1 X X 1 2 1 2 1 1 1 X X 0 1 1 1 1 1 X 1 X X X 1 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 X X 2 X X+2 2 X X X 2 X X+2 2 0 0 X+2 X X X X X+2 X 0 X 2 0 2 X 2 X 0 X+2 0 0 X 2 0 X 2 0 X X 2 X 0 X+2 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 X+2 2 2 0 X X 0 X 0 0 2 X 0 2 X 0 0 2 X+2 X+2 X+2 2 2 0 X+2 2 0 X 2 0 X+2 X 0 0 2 2 X 0 X+2 X X+2 2 X+2 X 0 X 2 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 X+2 X X+2 X+2 X 0 X X 0 X X+2 2 0 X X 2 X+2 2 X+2 0 2 X+2 X+2 2 X X X X X+2 X+2 2 2 X X+2 2 2 0 2 2 2 X X 0 X X+2 0 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 0 X X 0 X+2 X X X 2 X 0 X X X X X X+2 X+2 2 X+2 2 2 0 X 0 0 X+2 X+2 2 X+2 X X X 2 X+2 X+2 X+2 0 0 2 0 0 0 2 0 2 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 2 0 X 2 0 X+2 X 0 X 2 0 2 2 0 X X X+2 0 X+2 0 2 X+2 X 0 X+2 X+2 0 2 2 0 X+2 0 X+2 2 2 0 X+2 X+2 X+2 0 X 0 X X 0 X generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+42x^74+116x^75+147x^76+218x^77+285x^78+338x^79+411x^80+552x^81+541x^82+550x^83+667x^84+700x^85+676x^86+582x^87+542x^88+398x^89+326x^90+256x^91+191x^92+166x^93+123x^94+102x^95+68x^96+56x^97+51x^98+38x^99+17x^100+20x^101+4x^102+2x^103+2x^104+2x^105+1x^108+1x^124 The gray image is a code over GF(2) with n=340, k=13 and d=148. This code was found by Heurico 1.16 in 7.77 seconds.