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 1 1 1 1 0 1 2 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 1 X 1 1 X 2 X 1 X 1 2 0 1 1 1 X 1 2 X 1 1 1 0 X 0 0 0 X X+2 X 2 2 X+2 0 X+2 2 X+2 X 2 0 X+2 X+2 0 X+2 0 X+2 0 2 X 2 X+2 0 X+2 X 0 X 2 2 X+2 X+2 0 0 X 2 X X+2 0 X X+2 X X X 0 0 X 2 X X X+2 X+2 X+2 0 2 0 0 X 2 2 2 2 0 0 X X 0 0 2 X X+2 X X+2 X+2 X X 0 X X 2 X X 2 X 0 0 0 0 X 0 X X X 0 2 0 X+2 X+2 2 X X 2 0 X+2 X 2 0 X+2 X+2 0 2 0 2 X 0 X X+2 X X+2 X 2 X+2 X 0 0 0 2 X+2 X+2 2 2 0 X+2 0 0 2 X+2 2 2 X+2 2 X X+2 0 X+2 2 X X+2 2 0 0 2 X 2 X+2 X+2 0 2 X X 0 X X+2 X+2 X+2 2 0 0 X+2 0 2 X 2 X+2 X+2 X X+2 0 0 0 0 X X 0 X X+2 0 X 2 2 X X+2 X+2 0 X 2 0 X 0 X+2 X 0 2 X+2 2 2 X X 0 X+2 X X 2 2 0 2 0 X X X+2 X 0 X+2 0 X+2 X X+2 X 0 2 0 0 2 X+2 0 2 0 X 2 X+2 0 X+2 X X+2 2 2 0 2 2 X X+2 0 X+2 X X+2 X+2 X 0 X 0 2 2 X+2 X X+2 0 0 0 X+2 X+2 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 0 0 2 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+48x^84+70x^85+90x^86+128x^87+141x^88+146x^89+170x^90+196x^91+201x^92+194x^93+144x^94+132x^95+81x^96+70x^97+68x^98+32x^99+26x^100+24x^101+28x^102+20x^103+9x^104+8x^105+9x^106+4x^107+5x^108+2x^110+1x^154 The gray image is a code over GF(2) with n=368, k=11 and d=168. This code was found by Heurico 1.16 in 1.03 seconds.