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 X 1 0 1 1 1 1 1 X 1 X 1 1 1 0 1 1 1 X 1 1 2 1 0 1 X 1 1 1 1 0 1 1 2 X 2 1 2 0 X 2 1 0 0 1 1 0 0 X 1 1 1 1 0 1 1 1 0 X 0 0 0 0 0 0 2 X X+2 X+2 X X X+2 X+2 2 2 0 X X X+2 X 0 X X 0 X+2 X 2 2 2 X+2 X+2 0 X+2 X+2 X 2 X+2 X+2 X+2 0 X 2 X+2 0 0 X+2 2 2 X X+2 0 X+2 2 0 X+2 X X+2 2 2 2 X 2 0 X X 2 2 2 X+2 X X X X 2 0 X X+2 0 X X 2 2 X+2 X+2 X 2 2 2 0 0 0 X 0 0 0 X X+2 X+2 X X 2 X X 2 0 2 X+2 X+2 X+2 0 X X+2 X+2 0 X+2 X+2 2 2 0 0 2 2 X+2 0 X+2 X+2 X+2 2 2 X+2 X 2 X 0 0 X X+2 0 X X+2 X X+2 X X+2 0 0 X 0 2 X X+2 X+2 2 X 2 0 2 2 X X 2 2 2 0 0 0 X X 0 X+2 2 0 X X X+2 2 2 0 X+2 2 0 0 0 0 X 0 X X X 0 2 0 X X+2 X+2 X 2 2 0 0 0 2 2 X+2 X X+2 X X 0 X 2 X+2 X+2 X+2 X X+2 X+2 X+2 X X 0 2 X+2 0 X+2 X 2 X+2 X 0 X+2 0 X 0 0 X X X 0 2 0 X+2 0 2 2 X X 2 0 X X 2 X X 2 X+2 0 X+2 2 2 X+2 2 X 2 X+2 2 X+2 X+2 X 2 0 2 0 0 0 0 0 X X 2 X+2 X 2 X 0 X 0 X X X+2 X+2 0 2 X X 2 0 2 X+2 X+2 0 X 0 2 X X+2 X X+2 2 X+2 2 0 0 X 0 2 X 2 2 0 X 0 X+2 2 0 X+2 X+2 2 2 X+2 0 X 2 X+2 X+2 0 X 0 0 0 X X+2 X+2 X+2 2 X+2 0 0 X X+2 2 X X X X+2 X 0 0 2 2 X+2 X 2 2 0 0 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+38x^82+66x^83+119x^84+138x^85+189x^86+254x^87+281x^88+286x^89+313x^90+338x^91+338x^92+344x^93+248x^94+230x^95+188x^96+168x^97+120x^98+76x^99+80x^100+66x^101+47x^102+44x^103+38x^104+18x^105+28x^106+16x^107+7x^108+4x^109+8x^110+4x^112+1x^138 The gray image is a code over GF(2) with n=368, k=12 and d=164. This code was found by Heurico 1.16 in 2.32 seconds.