The generator matrix 1 0 0 0 0 1 1 1 2 1 1 0 1 X+2 1 X+2 X+2 1 2 0 0 1 1 X+2 1 1 1 1 1 X 1 X 2 1 X 1 X+2 0 1 1 1 0 1 1 1 1 1 X+2 X 1 X 1 X 1 X 1 2 1 1 1 0 X+2 2 2 1 1 1 X+2 1 X+2 1 X+2 1 2 X 2 X+2 1 X+2 1 X 1 0 1 0 0 0 0 0 0 0 1 1 1 3 1 X+3 1 2 2 1 1 2 2 1 X X X+3 X+3 X+3 X 1 X 1 X+2 X+1 X 1 1 X+2 3 2 0 1 0 X+2 2 X+1 X+3 1 X+2 0 X X+2 1 X 1 1 X X+2 X+1 X+3 1 0 1 1 X 3 X+2 0 2 1 X+1 X+2 X+1 1 0 1 1 1 0 1 2 0 0 0 1 0 0 0 1 1 1 3 1 2 X 1 X+2 X+3 1 X+2 X+1 X 1 2 X+2 X+2 X+1 0 X+3 X+2 3 0 X+3 1 0 3 0 2 X+3 1 X+3 0 X+3 2 X+2 X+1 0 X+2 X 2 1 X+1 1 2 X+1 X+1 X+2 1 X 2 1 1 X+1 0 X+1 X+1 X+1 2 3 X X 3 X+1 1 X X 1 X+2 X 3 1 0 1 2 0 0 0 1 0 1 1 0 3 2 X+1 X+3 X+2 3 3 2 X+1 X X 1 0 X+3 3 1 1 X+2 1 X+1 X+2 X 0 3 0 X 1 3 X X+1 X+1 2 3 X+2 0 X X+3 2 0 0 X X+1 X+1 X+2 1 X 3 X+2 0 2 X+2 2 1 1 0 X+1 X+3 3 2 1 X+3 3 2 3 X+3 X+1 X 2 X+1 2 3 X+3 2 0 0 0 0 0 1 1 2 3 1 0 X+1 X+3 X+1 0 0 X+1 2 1 2 2 X+3 X 3 X+1 X+3 X X X+3 0 1 3 3 1 X+3 X+2 2 X 3 X+2 X 0 1 X+3 0 2 3 X 2 1 0 X X+3 2 1 1 X+2 1 X+1 2 X+2 3 3 X+3 X+2 X X X+1 X 1 X+1 X+1 2 X 1 2 X+3 0 0 X+1 3 X+2 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 0 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+130x^71+445x^72+1082x^73+1493x^74+2164x^75+2633x^76+3464x^77+3775x^78+4598x^79+4872x^80+5426x^81+5193x^82+5464x^83+5197x^84+4862x^85+3809x^86+3532x^87+2468x^88+1880x^89+1204x^90+754x^91+474x^92+306x^93+132x^94+84x^95+36x^96+28x^97+6x^98+10x^99+8x^101+4x^102+2x^104 The gray image is a code over GF(2) with n=328, k=16 and d=142. This code was found by Heurico 1.13 in 79.8 seconds.