The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 0 1 1 1 X X 0 X 1 X 1 X 1 X 1 X X 2 1 0 X 0 X 1 X 1 X 1 1 1 1 1 2 X X X 0 1 1 1 1 1 X 1 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 X X+2 2 2 2 X+2 X+2 2 0 X+2 0 2 X X X 0 2 X+2 X 2 0 2 X+2 2 X+2 X X X X+2 X X+2 2 2 0 0 0 0 2 X X+2 2 2 X+2 X X+2 X+2 X X+2 0 X+2 2 0 0 X 0 2 X+2 X+2 0 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X X X+2 2 X 0 0 0 X+2 X 2 X 2 0 0 X 2 2 0 X+2 0 X X+2 X 2 0 0 X+2 2 X 0 X+2 0 0 X 0 0 0 X+2 X 0 X+2 2 X 2 X+2 X X 2 X 2 X X X+2 X+2 2 X+2 0 X 2 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 X 0 X 2 X X X 0 0 2 X+2 0 2 X+2 X+2 0 X X+2 0 2 X+2 X X+2 0 X+2 0 2 X X X+2 0 X 2 2 X 2 X X X X X+2 0 X+2 0 X 0 2 0 X X+2 2 2 X X+2 2 X+2 X 2 X+2 2 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X+2 X 0 2 2 X+2 2 X+2 2 X+2 X+2 X X 0 X+2 X X+2 2 0 0 X+2 2 2 X+2 0 X+2 X+2 X 2 0 X+2 X+2 X 2 0 X 2 X+2 X+2 2 0 2 X 0 X+2 X+2 0 0 2 2 X+2 X+2 0 X X+2 X 2 0 X+2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 0 2 2 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 0 2 2 2 2 0 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+41x^74+106x^75+171x^76+274x^77+274x^78+314x^79+426x^80+462x^81+561x^82+620x^83+663x^84+668x^85+633x^86+596x^87+482x^88+430x^89+315x^90+258x^91+259x^92+146x^93+112x^94+114x^95+85x^96+50x^97+43x^98+40x^99+19x^100+16x^101+5x^102+5x^104+2x^105+1x^120 The gray image is a code over GF(2) with n=340, k=13 and d=148. This code was found by Heurico 1.16 in 8.07 seconds.