The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 2 1 1 1 X 1 1 0 X+2 1 1 1 X 1 X 1 1 1 1 1 1 0 X+2 1 1 2 1 2 1 X+2 1 1 X+2 2 1 1 2 X 1 1 1 1 2 X 1 1 1 1 X 1 1 X 0 1 2 X+2 1 1 1 0 0 1 1 1 1 1 1 1 X+2 2 1 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 X+1 1 0 X+2 3 1 X+2 X+3 1 1 0 3 2 1 3 1 0 1 X+3 X 2 X+3 1 1 3 X 1 X+2 1 X+2 1 X+3 1 1 1 X 3 1 1 3 3 1 2 1 1 0 X+3 1 1 1 X X+3 1 1 2 1 1 X+2 X+3 X 0 1 1 2 X+2 X+1 0 X+2 2 1 2 X+2 0 0 X 0 X+2 0 0 X 0 X+2 0 0 0 X X X 2 X X+2 2 X X 2 0 X 2 2 X+2 2 X+2 2 X X X 2 2 X+2 0 0 X X 2 X+2 0 X+2 X+2 0 0 X+2 0 2 2 2 2 X+2 X+2 X+2 0 2 X+2 X 2 X+2 0 X X+2 X X 0 X 2 0 X X+2 2 X X 2 0 2 2 X+2 2 X 0 0 0 X 0 0 X X X X X+2 2 0 2 X+2 X+2 X X 0 X+2 X 0 2 2 2 X 0 2 X+2 0 X 2 2 X 0 0 X 2 X X+2 X+2 X+2 X 2 X+2 X 2 2 2 0 2 0 X 0 X+2 X 2 X X X+2 2 0 X X 2 0 0 0 X+2 X 0 0 X 2 2 2 0 0 0 2 X+2 0 X X+2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 2 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 2 2 2 2 0 0 0 0 2 2 0 2 2 0 2 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 0 2 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 0 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 0 0 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+54x^73+107x^74+274x^75+292x^76+556x^77+576x^78+994x^79+772x^80+1492x^81+854x^82+1874x^83+1012x^84+1750x^85+911x^86+1380x^87+702x^88+1016x^89+493x^90+476x^91+232x^92+194x^93+100x^94+96x^95+42x^96+54x^97+26x^98+24x^99+14x^100+4x^101+5x^102+2x^103+2x^104+2x^108+1x^112 The gray image is a code over GF(2) with n=336, k=14 and d=146. This code was found by Heurico 1.16 in 22.2 seconds.