The generator matrix 1 0 0 0 0 1 1 1 1 1 1 2 1 X 2 2 X+2 1 X 1 1 1 0 1 1 X+2 1 X 1 X+2 0 1 1 0 2 2 X 1 1 2 2 1 0 1 X 1 1 1 1 X 0 0 1 1 X 1 X+2 2 2 2 2 1 1 1 X+2 X+2 1 1 X+2 1 X+2 2 1 1 1 1 X 1 X+2 1 2 1 2 1 2 1 0 1 2 1 2 1 0 1 0 0 0 0 2 2 0 3 1 1 X+3 1 1 X X+2 X+2 1 1 X+1 X+3 1 1 3 X+2 X+2 X X 1 1 0 3 X X 0 1 X+1 X+3 X 0 1 1 2 X+2 0 1 0 0 1 1 X+2 1 2 2 3 X+2 1 1 X 2 X+1 2 X+2 0 1 2 X+1 1 X+3 1 1 1 3 X+1 X 1 0 1 X 1 0 0 1 1 0 0 X+1 1 0 2 0 0 0 1 0 0 0 3 X+1 1 1 X+3 X 2 3 3 1 1 X+1 X+1 0 1 X+2 3 X+1 X X X+2 1 0 0 0 X+2 X+2 X+2 2 1 X+3 0 X+3 1 X+2 0 1 X 1 X 0 1 X+3 2 0 1 3 2 X 3 1 2 X+2 X+2 1 X X+3 X+1 0 X+1 0 3 X+3 1 X+1 X+2 3 2 0 1 2 X+2 3 X+3 X+1 0 X+2 X+2 2 1 1 X 1 0 1 0 0 0 0 1 0 1 1 X X X+2 X+3 1 3 0 X+1 1 X X+3 1 3 0 X+2 X 3 0 1 1 3 2 1 X+2 1 3 1 1 X+3 X+1 1 X+3 0 X+2 X 0 2 0 X+3 X X 1 0 1 3 X+2 2 X+2 X+1 X+3 X+1 X+2 X+2 X 1 X 1 1 3 X+3 1 X+2 0 2 X+1 0 3 3 X+1 X+2 2 X+3 0 2 X+3 1 X+2 X 0 0 1 X+3 3 X+1 0 0 0 0 0 1 1 2 0 X+1 2 X+3 X+3 1 X+3 X+1 X 3 1 X+2 X+2 X+3 X+1 X+2 2 2 X+1 0 1 3 0 1 1 X+3 X+2 X+1 0 3 2 X+3 X 1 X+2 2 X+3 3 2 3 X+3 X 0 X+1 3 3 2 1 X+2 X X+2 X+1 1 X X+2 2 2 X+2 1 X X+1 0 0 X+3 1 2 X+3 3 0 X+3 3 1 3 0 0 0 X X X+2 0 3 X 1 3 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 X+2 X+2 X+2 X+2 X X X+2 X X X+2 X+2 X+2 X X+2 X X X+2 X X X X X X X+2 X X+2 X+2 X X+2 X 2 X+2 X X+2 X 2 X X+2 0 2 X X X 2 0 X X+2 X X+2 X 0 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+96x^79+438x^80+952x^81+1577x^82+2172x^83+3099x^84+4144x^85+5127x^86+6626x^87+7640x^88+8508x^89+9407x^90+10268x^91+10418x^92+10072x^93+10067x^94+9058x^95+7809x^96+6606x^97+5407x^98+3958x^99+2639x^100+1860x^101+1201x^102+842x^103+476x^104+272x^105+161x^106+56x^107+52x^108+28x^109+13x^110+10x^111+4x^112+6x^113+2x^115 The gray image is a code over GF(2) with n=368, k=17 and d=158. This code was found by Heurico 1.13 in 329 seconds.