The generator matrix 1 0 0 1 1 1 X+2 1 2 1 1 X 1 0 1 1 2 X+2 1 X+2 1 2 1 X 2 1 1 1 1 X+2 1 1 0 1 1 X+2 1 1 1 2 1 1 2 0 1 X 2 2 1 2 1 1 0 1 2 1 1 1 1 X 1 X 2 1 X 1 2 0 1 0 1 X+2 1 1 1 1 1 X+2 1 1 0 1 X 1 0 1 0 0 1 X+3 1 3 1 X 2 X 3 1 2 X+3 0 1 X+1 1 X+2 1 X 2 1 1 X 1 1 X X+2 X 1 0 X+3 1 0 0 X+1 1 3 X+1 1 X+2 0 1 X+2 1 0 1 3 0 1 1 1 3 X+1 2 X 1 3 1 X 1 1 X+3 X+2 1 0 1 2 X 1 X+2 0 2 X+1 X 3 1 1 1 X+2 2 0 0 1 1 1 0 1 X X+1 X+3 X 1 X+3 X X+2 X 1 X+1 1 0 X+1 X 3 1 X+3 2 X 3 2 1 0 X+3 X+1 2 X+1 1 X+1 X 3 X 0 1 0 1 1 X+1 1 1 X 2 X+3 X X+1 X+2 0 X+1 2 3 0 X+1 0 X+2 1 X X+1 2 1 X+3 X+1 X+2 X 1 0 3 3 3 1 1 2 X+2 0 X+3 0 0 0 0 0 X 0 0 2 0 2 X 0 0 0 0 X+2 X+2 X X+2 X+2 X+2 2 X+2 0 X X+2 X+2 X 0 0 X 2 2 X X X+2 0 X X+2 2 2 X 2 2 X+2 X X 0 0 X+2 X+2 2 2 0 X 2 X 0 0 X+2 X+2 2 X 0 X 2 X+2 X+2 2 X 0 0 2 0 X+2 2 0 0 X+2 2 2 X+2 0 X+2 0 0 0 0 0 X X+2 X+2 X+2 X 0 0 2 X X+2 2 X+2 2 X X X 0 X 0 2 X+2 0 X+2 2 0 X X+2 X+2 2 X 0 0 X+2 X+2 0 0 0 X+2 2 X X+2 2 2 0 0 2 2 X+2 2 0 X X 0 X+2 X X+2 2 2 X 2 X 0 X+2 2 X+2 0 X X+2 X+2 2 X 0 X+2 0 0 X+2 X+2 0 2 X 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 2 0 0 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+53x^74+194x^75+397x^76+602x^77+686x^78+936x^79+1091x^80+1084x^81+1237x^82+1426x^83+1468x^84+1144x^85+1266x^86+1222x^87+870x^88+794x^89+592x^90+488x^91+281x^92+184x^93+121x^94+72x^95+72x^96+26x^97+38x^98+10x^99+10x^100+6x^101+7x^102+2x^103+2x^104+2x^107 The gray image is a code over GF(2) with n=336, k=14 and d=148. This code was found by Heurico 1.16 in 17.1 seconds.