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 2 0 X+2 X 1 1 X+2 1 0 1 1 0 1 1 1 0 1 0 2 2 X X+2 1 0 1 1 X 1 0 2 2 0 2 2 2 1 X X+2 1 1 X X 1 X 1 1 1 1 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 3 X X+2 2 1 1 0 X X 0 X 1 X+1 1 0 0 X+2 1 2 1 0 1 2 1 X+3 0 2 X+3 1 X+3 0 1 1 X 1 1 1 1 1 1 X+2 X+2 1 1 X+3 1 X+2 X+3 3 2 2 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 1 0 X+2 1 X+3 2 1 X+2 1 X+1 1 0 0 X+2 2 X+3 0 2 X 2 1 3 1 1 1 1 X+3 1 X+1 X+2 1 X X+2 1 1 X+3 0 2 X X+2 3 X+2 X+2 0 X+2 1 X+1 1 X+2 3 X 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 1 2 X X+1 3 X+1 2 X+1 X+3 0 X+1 3 X X+2 0 3 1 X+2 X X+1 3 0 2 3 X+2 X 1 X+2 X+1 X+2 0 1 X+3 3 2 1 X+3 3 X 0 3 1 X+2 3 X+3 1 2 X+1 X+2 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 3 X+2 X+3 X+2 X+2 X+2 X+1 2 1 2 3 X+2 X+2 X+1 2 X+3 1 2 X+3 3 X+2 3 1 1 3 2 2 1 2 X+2 X+2 X+2 1 0 2 X+1 X+1 1 0 3 1 X+3 X 3 3 X+2 X+1 0 0 X+3 X 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 2 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 0 0 0 2 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 0 0 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+142x^73+612x^74+950x^75+1643x^76+2162x^77+2809x^78+3078x^79+4237x^80+3944x^81+5290x^82+5026x^83+5670x^84+5016x^85+5437x^86+4334x^87+4221x^88+3196x^89+2701x^90+1708x^91+1446x^92+760x^93+500x^94+308x^95+173x^96+70x^97+57x^98+20x^99+13x^100+6x^101+2x^102+4x^104 The gray image is a code over GF(2) with n=336, k=16 and d=146. This code was found by Heurico 1.13 in 82.2 seconds.