The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 X 0 X X 0 1 X 0 1 1 0 X 1 1 1 1 1 1 1 1 0 1 1 2 1 1 1 2 1 0 X 1 X 2 1 1 X X 1 0 1 1 1 1 2 2 0 1 0 X 0 X 0 0 0 0 0 0 2 2 X X+2 X 0 0 2 X+2 X+2 X X X X 0 X X+2 X 0 X X+2 2 X+2 2 2 X+2 X 0 0 X 2 0 X X 2 2 X X+2 X 2 X 0 2 2 X 2 2 X X+2 2 0 X+2 X X+2 2 X X+2 X X+2 X+2 X X X X 2 2 0 X X X+2 X X+2 X 2 X X+2 X 0 X X 0 X 2 X 0 0 X 0 0 0 0 0 0 0 0 0 2 X+2 X+2 X+2 X X+2 X+2 X 2 2 X+2 X+2 0 0 X X X X+2 X+2 X+2 2 2 X+2 X X 2 2 X 0 2 2 0 X 0 X X X X 0 2 X 2 0 X+2 2 0 X+2 X X 0 X 2 X X 2 X+2 0 0 X+2 2 0 X+2 0 X 0 X X 0 2 X 0 2 0 X+2 2 2 0 X X X 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 X 2 2 0 2 2 2 2 2 X X+2 X 2 X X+2 X+2 X X+2 0 2 0 0 0 X+2 X+2 X 0 X+2 X X 2 X X+2 X+2 X+2 2 2 0 X+2 X+2 0 X+2 X+2 0 0 2 0 X 2 0 0 2 0 X X+2 2 X+2 0 2 X X+2 X 2 X+2 2 0 X+2 X 0 X X 0 2 0 0 2 0 0 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 X X 0 2 X 0 X+2 X+2 X X+2 X 2 2 X 2 2 0 X+2 2 0 X+2 X X+2 2 0 X+2 X X X+2 2 0 0 0 0 0 X 0 X+2 2 X X X+2 X+2 X X+2 2 X+2 2 0 2 2 2 2 0 2 X X+2 0 X X+2 0 2 2 X 0 X X+2 2 X+2 X+2 2 X+2 2 2 2 0 X 2 X 0 0 0 0 0 X X 2 X+2 X X+2 2 X X 0 X 0 X+2 X+2 0 X 2 2 X+2 2 X X+2 X+2 2 X 2 2 X+2 0 X X+2 0 0 0 X X+2 X+2 X 2 2 X+2 X+2 X 0 0 X+2 0 X+2 X 2 0 X+2 X+2 X X X+2 X+2 X+2 0 2 X+2 0 0 2 2 X+2 0 X 0 0 X 0 0 X+2 2 X X X X 2 X+2 X 0 X 0 2 X generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+60x^81+133x^82+204x^83+212x^84+300x^85+341x^86+408x^87+475x^88+516x^89+640x^90+612x^91+640x^92+598x^93+635x^94+514x^95+393x^96+390x^97+244x^98+200x^99+150x^100+124x^101+97x^102+76x^103+63x^104+48x^105+45x^106+32x^107+18x^108+10x^109+6x^110+2x^111+2x^113+2x^114+1x^134 The gray image is a code over GF(2) with n=368, k=13 and d=162. This code was found by Heurico 1.16 in 9.02 seconds.