The generator matrix 1 0 0 1 1 1 0 1 1 2 1 X 1 X+2 1 1 1 X 2 X 1 1 1 1 2 X+2 1 X+2 2 1 1 1 1 2 1 X 2 1 2 X+2 1 1 1 2 X+2 1 1 2 1 1 X X+2 0 X 1 X+2 1 2 1 0 0 1 1 0 X 1 1 2 1 0 X+2 1 1 2 1 1 1 1 1 0 0 X 1 1 0 1 0 0 1 1 1 2 1 1 X+1 X+2 X+3 1 2 X X+2 1 X 1 X+3 0 X+2 1 1 0 X+1 1 1 3 1 X X+1 1 X 1 1 3 X X X+3 2 X+3 1 1 X 0 1 X+1 0 2 1 1 1 X 1 3 1 X+3 X 1 3 0 0 X+2 0 3 X+2 1 X+2 1 2 X+3 1 1 2 X+2 0 0 1 1 2 X+1 X 0 0 1 X+1 X+3 0 X+1 X 1 X 0 1 X 1 3 2 X+3 X+2 1 X+3 3 X+2 3 X X+2 1 X+1 3 3 3 X X 1 0 3 2 X+2 2 1 1 X+2 X+3 X+3 3 X+3 0 X+3 X+2 2 1 1 X+3 2 2 2 X+1 X+3 X+1 1 1 X+1 0 X+3 1 1 0 3 1 1 1 1 X X+3 X+1 X 0 X+3 3 X+1 2 X+2 1 0 X+2 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 0 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 2 2 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+152x^76+284x^77+446x^78+528x^79+641x^80+664x^81+620x^82+612x^83+631x^84+684x^85+568x^86+548x^87+429x^88+436x^89+266x^90+204x^91+196x^92+104x^93+68x^94+28x^95+46x^96+4x^97+10x^98+11x^100+6x^102+3x^104+2x^108 The gray image is a code over GF(2) with n=336, k=13 and d=152. This code was found by Heurico 1.16 in 5.29 seconds.