The generator matrix 1 0 0 1 1 1 0 1 1 2 1 X 1 X+2 1 X X+2 1 1 2 1 1 X 0 1 1 X+2 1 X 1 2 1 1 X 1 X+2 1 1 1 1 1 2 1 1 1 1 2 0 X X+2 X+2 1 1 2 2 1 1 2 X X+2 1 0 2 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 2 1 0 1 1 1 0 1 1 X 1 0 1 0 0 1 1 1 2 1 1 X+1 X+2 X 1 X+2 1 1 1 0 X X+3 X+1 1 2 X+2 X+2 1 X+1 0 X 1 1 3 1 1 1 0 X 2 X+1 X+2 1 X+3 0 0 1 X+2 2 1 X+2 1 X+3 0 1 1 X+1 X+1 2 X 0 3 1 X X+1 X+3 X 1 2 0 2 0 1 0 X+2 X 2 X+1 3 X+1 0 X X X+2 1 X+3 X+2 X+1 1 0 X+1 1 0 0 0 1 X+1 X+3 0 X+1 X 1 X 0 1 1 1 X X+2 X+1 X 1 1 1 X+1 3 1 0 X+3 2 X+2 1 X+3 1 1 0 X+3 X+1 0 2 X X+2 X+1 1 X X 3 X+3 X 1 1 2 1 X+3 1 3 0 X 1 3 1 1 1 1 2 1 X+1 0 X+2 3 3 X+1 0 2 X 1 1 3 X 0 2 3 1 X+2 1 0 X 3 X+3 2 3 X+2 X X+3 X+1 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 0 2 2 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 2 0 2 0 0 0 0 2 0 2 0 0 2 0 0 2 0 0 2 0 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+213x^84+252x^85+566x^86+392x^87+787x^88+436x^89+772x^90+604x^91+829x^92+436x^93+605x^94+316x^95+530x^96+308x^97+386x^98+180x^99+204x^100+96x^101+144x^102+44x^103+45x^104+8x^105+16x^106+9x^108+5x^110+5x^112+2x^114+1x^116 The gray image is a code over GF(2) with n=368, k=13 and d=168. This code was found by Heurico 1.16 in 7.69 seconds.