The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 1 X 2 1 1 2 1 1 2 1 1 0 1 X+2 1 0 1 1 X+2 1 1 2 1 1 1 1 1 X 1 X 1 X+2 1 1 1 1 1 1 1 X+2 2 1 1 0 1 X+2 1 0 1 X+2 1 1 1 1 1 1 0 1 0 1 1 0 1 1 X X X X+2 2 1 1 X 2 1 X+2 1 0 1 1 0 1 1 0 X+3 1 2 1 X+3 3 2 1 2 3 X+1 1 1 2 X+1 1 0 3 1 1 X 1 0 1 X+2 1 X+1 3 1 0 3 1 2 X+1 X+2 3 3 1 X+2 1 X+2 1 X+3 2 X+2 X 3 X+2 X+2 1 1 X+1 0 1 0 1 X+2 1 X+1 1 3 3 1 X+3 0 0 1 1 1 X+1 X+2 1 2 X 1 1 0 1 2 X+1 3 1 X X+1 1 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 X X X+2 X+2 X X+2 2 X+2 X X X X+2 X+2 X X X X X X X X+2 2 0 X+2 2 X+2 X 2 2 X+2 2 0 X+2 X+2 2 X X+2 2 X X+2 X+2 X X+2 0 X 0 X+2 X+2 2 X+2 2 2 0 X+2 X 0 X 2 X 0 X 2 X+2 X+2 2 2 0 0 0 X 0 0 0 0 2 X+2 2 0 0 2 X X+2 X+2 X X X 2 0 X X X 0 X+2 2 X 2 2 X+2 2 2 X+2 0 0 X+2 X+2 X 0 2 2 X X+2 X X+2 X+2 2 X+2 2 0 X X+2 X X+2 X 0 X+2 X X+2 0 0 X X X+2 0 0 X+2 X+2 X+2 0 2 0 2 X X 0 X 0 2 2 2 0 X+2 0 X 0 X X X 0 0 0 0 0 0 X 0 X 2 X X+2 X X X+2 X 0 2 0 X+2 X+2 X+2 0 2 2 X X+2 X+2 2 2 2 0 2 2 X X+2 X 0 X X 0 2 2 X X+2 2 X+2 2 2 X+2 2 X+2 X+2 0 X X+2 2 0 X+2 X X+2 X+2 X+2 X+2 2 2 X 2 0 X+2 X 0 2 X+2 0 0 X 0 0 0 X 0 0 2 0 X+2 X+2 2 X X 2 0 0 X+2 X 0 0 0 0 0 X X+2 X 2 X X+2 X+2 X 0 X+2 X+2 X+2 X+2 2 X+2 X+2 2 2 2 2 X+2 0 2 2 X 0 X 0 0 X+2 X+2 2 0 X 0 X+2 X+2 0 0 X+2 2 2 0 X+2 X+2 0 0 X+2 0 2 X X+2 0 0 X+2 2 X+2 0 X X 2 X 2 X 2 2 2 X+2 2 0 X+2 2 X+2 X+2 2 X+2 2 2 X+2 X+2 X+2 0 X+2 0 X+2 X 0 0 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+65x^82+168x^83+312x^84+396x^85+493x^86+630x^87+861x^88+1072x^89+1197x^90+1272x^91+1247x^92+1364x^93+1193x^94+1166x^95+1132x^96+944x^97+866x^98+632x^99+409x^100+278x^101+233x^102+106x^103+109x^104+82x^105+35x^106+40x^107+18x^108+18x^109+12x^110+18x^111+4x^112+6x^113+2x^116+1x^118+1x^120+1x^122 The gray image is a code over GF(2) with n=372, k=14 and d=164. This code was found by Heurico 1.16 in 23.2 seconds.