The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X+2 1 1 1 1 X+2 0 1 1 1 1 2 X 1 1 X+2 1 1 1 1 0 1 0 1 1 1 X+2 1 X 1 1 1 2 1 1 X+2 1 1 1 1 1 1 1 1 1 2 2 1 X+2 1 1 0 1 1 1 X+2 1 X 1 1 X+2 2 1 X+2 X 1 X+2 2 1 1 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 X+1 1 1 2 X+3 X+2 3 1 1 3 X+3 X+2 X+2 1 1 3 0 1 X 1 X X+3 1 X+1 1 X X+3 0 1 3 1 X+2 X 1 1 3 2 1 3 X+3 1 X+3 2 X+1 2 X+2 X 1 1 0 1 X+3 X 1 1 3 X 1 X+1 2 0 1 1 2 X+3 1 1 2 1 X 0 X+3 X+1 2 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X+2 X X X 2 2 X X 2 2 0 X+2 X+2 0 0 0 X X+2 0 X+2 2 X 0 X X 2 0 0 X+2 0 X X+2 X+2 2 X X X+2 0 X+2 X 2 2 X+2 2 X X+2 0 X+2 2 0 0 X+2 2 2 X X 2 X+2 0 0 0 X 2 2 2 X 0 X+2 2 0 0 X 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 2 0 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 2 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 0 0 2 0 2 0 2 0 0 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+44x^77+83x^78+152x^79+289x^80+446x^81+499x^82+460x^83+528x^84+678x^85+660x^86+680x^87+701x^88+636x^89+566x^90+472x^91+413x^92+244x^93+185x^94+120x^95+101x^96+94x^97+45x^98+28x^99+6x^100+22x^101+8x^102+8x^103+3x^104+8x^105+2x^106+3x^108+4x^109+1x^112+2x^116 The gray image is a code over GF(2) with n=348, k=13 and d=154. This code was found by Heurico 1.16 in 6.29 seconds.