The generator matrix 1 0 0 1 1 1 X 1 X+2 1 1 2 1 X+2 1 2 1 X X+2 1 1 1 1 1 1 0 0 2 1 1 0 X 0 1 X 1 1 1 1 0 X+2 1 1 X+2 1 1 X X+2 1 1 X+2 1 2 1 1 2 X+2 1 X 1 2 X 1 0 0 0 1 1 2 1 2 0 1 X+2 1 2 0 1 2 1 1 2 1 1 X+2 X+2 1 0 1 0 0 1 X+3 1 2 0 2 X+1 1 3 1 2 1 X+3 X+2 1 X+3 X 1 X+1 X X+2 1 1 X+2 2 X 1 1 2 2 X+2 X X+3 1 2 2 1 X+2 1 1 X+1 3 1 1 X+2 X+3 1 X+1 1 0 2 1 2 0 1 X+2 2 X+2 1 1 1 1 X+2 X+1 1 3 1 1 X+2 1 X+2 1 1 X X X+2 1 2 X+2 1 X 1 X 0 0 1 1 X+1 0 1 X+1 1 X 3 3 2 0 0 X X+1 1 X+1 X X+1 X X+3 3 0 2 X+1 1 X X 1 2 1 X+3 1 X 3 2 1 1 X+1 X+1 X X+2 X X+1 X 0 X+1 0 1 X+1 X+1 X 1 X+2 1 1 0 1 1 1 X+1 2 2 X 1 0 X+3 3 1 3 2 X+2 X+1 2 X+1 2 1 X+1 X+2 1 X+2 X+1 1 X+1 X+1 0 0 0 X X X+2 2 X+2 0 0 X 0 X 0 X 2 X 2 0 X+2 X+2 X X X+2 X+2 0 0 2 X+2 X+2 X+2 X X 2 X+2 0 2 0 2 X X 2 0 X+2 2 2 2 X+2 0 X X 0 2 2 0 0 X+2 2 X X 0 X 0 X+2 X X 2 2 2 0 X+2 X+2 X X X+2 X+2 X+2 0 0 2 X+2 2 0 0 X 2 X+2 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+180x^79+283x^80+464x^81+461x^82+636x^83+572x^84+816x^85+627x^86+742x^87+528x^88+612x^89+394x^90+464x^91+333x^92+348x^93+201x^94+190x^95+118x^96+118x^97+28x^98+20x^99+14x^100+8x^101+16x^102+4x^103+6x^104+2x^105+1x^106+4x^107+1x^108 The gray image is a code over GF(2) with n=348, k=13 and d=158. This code was found by Heurico 1.16 in 5.1 seconds.