The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X+2 1 1 0 1 1 X+2 1 1 1 1 2 2 1 0 1 0 2 1 1 1 1 1 0 2 X+2 1 1 1 2 X+2 2 0 X+2 1 0 1 1 1 1 1 X 1 X+2 2 0 1 1 X+2 1 1 1 0 1 1 0 1 X 1 1 X 0 1 1 1 1 1 0 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 X+2 1 1 1 X 3 1 0 X+1 1 X+2 0 X+1 1 1 X 2 1 X 1 0 X+1 X+3 2 X+2 3 1 X+2 X 2 X 3 1 0 1 1 1 1 X+2 3 X+2 X 2 2 1 X+1 1 0 1 X+2 0 1 X X 3 X X+3 X+3 1 X+2 1 X+1 1 1 1 X 1 1 X+3 2 X+2 0 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 1 X+1 X 0 X+2 2 1 X+3 3 X+2 0 3 X+3 X 1 1 X X+2 X+2 X+1 1 X+2 X+1 X+2 X+3 1 X+1 1 1 0 1 X+3 2 1 X+1 X+2 3 X 1 X+1 3 X+2 2 0 X+1 X+1 X+2 1 3 X+2 X+1 3 1 3 X+3 1 2 X X+1 X+1 2 X+1 X+2 X X+2 0 3 X+3 3 1 1 0 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 0 2 0 2 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+67x^74+192x^75+377x^76+530x^77+764x^78+1004x^79+1085x^80+1028x^81+1211x^82+1450x^83+1301x^84+1296x^85+1216x^86+1156x^87+1033x^88+752x^89+665x^90+464x^91+251x^92+202x^93+142x^94+80x^95+34x^96+28x^97+25x^98+6x^99+7x^100+4x^101+4x^102+7x^104+2x^110 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 17.7 seconds.