The generator matrix 1 0 0 1 1 1 X+2 1 2 1 1 X 1 2 1 X+2 1 1 X+2 1 0 X+2 1 1 X 1 X 1 1 X+2 2 X+2 1 1 X 1 1 1 2 2 1 1 X+2 1 1 1 0 1 1 0 1 1 1 1 1 1 X+2 0 X+2 X+2 X X 1 X 1 1 X+2 X 1 0 1 1 X X+2 1 2 1 1 X 1 1 1 1 0 1 0 0 1 X+3 1 3 1 X X+1 1 X 2 X 1 X+3 X+2 1 1 X+2 1 X 3 1 0 X 2 X+3 1 1 1 X X 2 3 1 0 2 1 X+1 2 1 0 0 0 1 1 X+2 0 X+3 X+2 X+2 X+1 X X+3 X+2 1 1 2 0 1 X+1 1 X+3 X+3 2 X+2 0 2 X+3 X+2 1 1 X+3 X+2 X X+2 0 3 2 2 3 0 0 1 1 1 0 1 X X+1 X+3 1 X+2 X 1 X+3 3 3 X+2 2 X 1 X+2 1 X+1 X+1 2 1 X+2 X 2 X+2 3 X X+3 1 X+3 0 X+2 1 0 X+2 1 3 2 X+1 X+1 3 X+1 X+2 1 1 2 X+1 X 0 X+1 1 X+2 3 1 1 X X+2 X+2 1 X+3 1 1 X+3 1 3 X+3 X+2 3 X 1 3 X+1 1 0 3 3 X 0 0 0 X 0 0 2 0 2 X 2 2 0 X+2 0 X X+2 X+2 X+2 X 2 X+2 0 X+2 X+2 X X X X+2 2 X 0 2 X X+2 2 X+2 X+2 X X X X X 0 X 2 X+2 0 X+2 2 X+2 2 2 2 0 X X X 2 0 X X 0 X 0 0 0 2 0 0 X 2 0 X+2 2 2 0 0 X X X X+2 X 0 0 0 0 X X+2 X+2 X+2 X 0 X 2 2 0 0 X+2 X 2 0 X+2 0 0 2 X X 2 2 2 X+2 2 2 2 X X+2 X+2 2 2 X X X 2 X 2 X+2 2 X+2 2 0 X+2 0 2 2 X+2 2 X 0 X X+2 X 0 2 X+2 0 0 X 2 X X+2 2 0 X+2 0 X 2 X X+2 X+2 2 X X X 0 X 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 0 0 0 2 2 2 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+286x^74+232x^75+762x^76+464x^77+1192x^78+908x^79+1459x^80+1008x^81+1488x^82+1068x^83+1563x^84+960x^85+1514x^86+724x^87+937x^88+464x^89+540x^90+252x^91+270x^92+48x^93+134x^94+16x^95+58x^96+22x^98+5x^100+8x^102+1x^104 The gray image is a code over GF(2) with n=332, k=14 and d=148. This code was found by Heurico 1.16 in 23.5 seconds.