The generator matrix 1 0 0 0 0 1 1 1 X+2 X 1 X+2 1 0 1 1 1 1 1 X 1 2 1 X 2 2 X+2 1 1 1 X+2 1 1 1 X 2 0 X 1 0 1 1 X X 1 1 X 1 2 1 1 X 1 1 1 1 X X+2 1 1 1 1 1 X 1 1 X 0 1 1 2 1 1 2 1 1 1 2 1 X+2 0 1 X 2 2 2 1 1 2 1 1 X+2 0 1 0 0 0 X 2 X+2 X 1 3 1 X+1 1 3 3 0 0 3 1 X+2 1 2 1 0 X+2 1 1 3 X+1 2 X 0 X 1 2 1 1 2 X X+2 1 2 0 1 3 1 0 X X+1 X+3 2 X+2 3 3 X+1 1 1 X+3 3 2 X+3 X 1 X+2 X+3 X+2 1 X+3 3 0 0 1 1 0 0 X 0 X+1 0 1 X X+2 X 1 1 X+1 3 1 1 3 1 0 0 1 0 0 0 0 0 2 0 2 0 0 2 2 0 1 3 1 X+3 X+1 3 X+3 X+3 1 1 1 1 1 X+3 1 3 X+2 X X X X 1 2 X 1 2 1 1 X+1 X X+2 X+2 1 3 0 X 3 X+1 0 1 X+1 X+3 2 3 X+3 X X 3 1 X 1 2 X+3 X X 0 X+1 2 X+3 0 0 X+2 0 1 X+1 X+1 X+2 X+2 3 X+1 X+3 3 0 2 2 3 0 0 0 1 0 0 3 1 1 3 1 X+2 X+2 X+3 X X+1 2 3 X+2 X 3 1 0 2 3 1 X+3 X+3 X X+1 X 2 1 X+2 X+1 X+2 X+1 3 X+2 1 0 X 1 3 X+2 2 2 2 X+2 1 X+1 2 X+1 0 1 3 0 X+1 X+2 0 X+3 1 X+1 0 X X X X+2 X 3 1 1 X 2 X+1 X X+2 0 1 X X+3 0 1 1 X 0 3 X+3 X+2 X+2 2 X+1 0 0 0 0 1 1 1 X 3 X+2 1 X+3 X+2 3 X+3 X 3 X X+2 3 X+1 3 2 X 1 X+2 2 0 X+1 1 3 3 X X+2 0 1 X+1 X+2 1 0 2 2 2 X+1 X+3 2 1 X+1 X+1 2 2 1 1 X+3 3 X+3 X+1 X+3 X+1 X+2 X+2 X+1 X+1 X+1 X X+2 0 2 1 X 2 1 X+3 X 2 3 2 1 0 3 X+1 X 1 X+3 X 2 X X+2 1 X+3 X+3 X+3 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 2 2 2 0 2 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+304x^81+821x^82+1122x^83+1697x^84+2146x^85+2822x^86+3276x^87+4062x^88+4284x^89+4825x^90+4690x^91+5362x^92+4922x^93+5034x^94+4268x^95+4099x^96+3380x^97+2647x^98+1876x^99+1449x^100+1012x^101+599x^102+314x^103+272x^104+110x^105+77x^106+32x^107+16x^108+4x^110+6x^111+2x^112+2x^113+2x^114+1x^118 The gray image is a code over GF(2) with n=368, k=16 and d=162. This code was found by Heurico 1.13 in 97 seconds.