The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X 0 1 X 1 1 1 1 1 1 X+2 1 1 0 1 1 2 1 1 1 1 X X 1 X 1 1 1 1 1 1 X 1 0 1 2 1 2 1 1 1 0 X 1 1 1 1 0 1 1 1 2 0 1 X 0 X 1 0 1 X+2 2 1 X+2 0 X X+2 1 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 3 1 1 1 X+1 1 X+2 3 X+1 2 X X 1 X+3 X+2 1 1 0 1 X+2 1 3 2 1 1 X+3 1 2 2 X X X 3 1 X 1 3 1 X+1 1 2 X+3 X+1 1 1 2 X+3 X+3 X+3 1 X+2 3 2 1 0 3 1 1 1 X+3 1 2 1 1 X+1 1 1 1 1 X+1 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X X+2 2 2 0 X+2 X+2 X X 0 2 X X 2 X 0 X+2 2 X+2 0 X 0 X+2 X+2 X X+2 0 X+2 2 2 0 X+2 X+2 0 0 2 0 X+2 2 X 2 2 X+2 2 2 0 X 2 0 X+2 X 2 X X 0 2 X+2 0 2 2 X X+2 2 0 0 X X+2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 2 2 0 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 0 0 2 2 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 0 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 2 2 0 2 2 0 0 2 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+162x^74+36x^75+444x^76+152x^77+686x^78+288x^79+880x^80+360x^81+997x^82+376x^83+952x^84+360x^85+823x^86+288x^87+634x^88+152x^89+301x^90+36x^91+119x^92+72x^94+28x^96+19x^98+11x^100+11x^102+1x^106+1x^108+1x^112+1x^116 The gray image is a code over GF(2) with n=332, k=13 and d=148. This code was found by Heurico 1.16 in 24.1 seconds.