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 1 1 1 1 1 1 1 1 1 1 0 X X 2 X X X X X 0 X 0 X X X X 0 1 X 1 1 X 2 1 X X 0 1 X 1 2 0 1 1 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 2 X X X 2 X 0 X 2 X+2 X X+2 X+2 X+2 X+2 X 2 X+2 0 X+2 2 X X+2 X 0 X+2 2 X X+2 X X 2 X+2 2 X 2 2 X X 0 X X+2 X+2 X 2 2 2 2 0 X X+2 2 X+2 X X+2 X X+2 0 X 0 0 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 2 0 X+2 X X X+2 X+2 2 0 X+2 0 2 X+2 X 0 2 2 2 X 0 X X+2 X+2 X X 2 X 2 X 2 0 0 0 2 X X+2 2 X X X X+2 2 X 2 0 2 0 X X X 2 0 X+2 0 0 0 2 2 X+2 0 X 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 X 0 2 0 2 X X X 2 X 0 X+2 0 X X+2 0 2 2 X X X+2 0 2 X 0 2 X+2 X+2 0 2 2 X 2 2 X+2 2 0 X X X 2 2 0 0 X+2 0 X+2 0 X+2 X+2 2 X+2 2 X+2 0 2 X 2 0 X+2 2 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 X X+2 2 2 X 0 X+2 2 X+2 X+2 X X+2 X 0 X+2 X+2 0 X 0 2 2 0 X+2 2 2 2 0 X X X+2 X+2 0 X+2 X+2 X+2 X+2 X 0 X 2 2 X+2 X+2 X X X+2 0 X+2 X 0 0 X 0 X X 0 0 X X X+2 X+2 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 2 2 0 X 0 X 2 2 X+2 X+2 X+2 X+2 0 2 2 2 2 X+2 0 0 X+2 X+2 X+2 X X X+2 X+2 2 2 2 0 0 X X+2 0 X 0 0 0 X+2 2 X+2 0 2 X 0 2 0 X X X+2 X 2 X X 0 X+2 X 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+150x^70+4x^71+463x^72+40x^73+744x^74+132x^75+998x^76+416x^77+1392x^78+640x^79+1602x^80+804x^81+1728x^82+860x^83+1714x^84+644x^85+1214x^86+360x^87+955x^88+132x^89+624x^90+48x^91+364x^92+12x^93+176x^94+4x^95+98x^96+48x^98+12x^100+4x^102+1x^112 The gray image is a code over GF(2) with n=328, k=14 and d=140. This code was found by Heurico 1.16 in 27.6 seconds.