The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 2 1 1 1 2 1 1 X 1 X+2 1 1 1 1 1 0 1 1 X 1 X+2 1 1 2 1 1 X+2 X+2 1 1 1 2 1 1 1 1 1 1 2 1 X 1 2 1 1 0 1 1 1 1 0 0 1 1 X+2 1 1 X+2 1 1 1 1 1 1 2 0 X X 1 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 X+1 1 0 X+2 X+1 1 X 1 1 2 1 3 X+2 3 0 3 1 X+1 0 1 X 1 X+3 X 1 X+1 2 1 1 0 1 X+3 1 X+3 0 X X X 1 1 X+3 1 X+2 1 0 1 1 X+3 0 1 X+3 1 X X+3 0 1 X+3 X+1 1 2 X+1 X+1 1 X X+3 0 X 1 1 3 0 0 X 0 X+2 0 0 X 0 X+2 0 0 0 X X X 2 X X 2 X X+2 X 0 X 2 X 0 X+2 X 2 X 2 X 0 X+2 X+2 0 X 0 X 2 X 0 2 X 2 2 X X X+2 X+2 X+2 X+2 X+2 X+2 X+2 X X 0 2 X+2 X+2 X X 2 2 X 2 2 0 2 2 2 X 0 0 X 0 2 X X+2 0 0 0 X 0 0 X X X X X+2 2 0 2 X X X+2 X+2 2 X+2 2 2 X+2 2 X+2 X X 0 X 0 0 2 X+2 X+2 X+2 0 2 0 0 0 2 0 2 X+2 0 X+2 X X X+2 X+2 0 0 0 X 0 2 2 X X+2 X+2 X+2 X X+2 X X X 0 X+2 2 X X+2 X 2 X X+2 X 2 0 X+2 2 0 X 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 2 0 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 0 0 2 0 2 2 0 2 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+54x^71+129x^72+202x^73+426x^74+512x^75+595x^76+792x^77+994x^78+1078x^79+1305x^80+1452x^81+1394x^82+1468x^83+1283x^84+1224x^85+987x^86+746x^87+601x^88+332x^89+216x^90+200x^91+144x^92+80x^93+55x^94+26x^95+28x^96+12x^97+20x^98+12x^99+9x^100+3x^102+2x^105+1x^108+1x^110 The gray image is a code over GF(2) with n=328, k=14 and d=142. This code was found by Heurico 1.16 in 20.7 seconds.