The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 X 0 1 1 0 1 1 X 1 0 1 0 1 X+2 1 0 1 1 1 X 1 1 1 2 X+2 1 1 X 2 1 1 0 0 1 1 0 1 1 X+2 1 1 2 1 2 X 0 1 1 1 1 1 1 2 1 X+2 2 1 1 1 1 1 0 1 1 X+2 0 X+2 X 1 0 1 X 1 1 1 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X 3 1 1 X+1 2 0 X+2 X X+2 X+1 1 3 1 0 2 3 1 0 X X+1 1 0 X+1 2 1 1 2 3 0 0 3 X 1 1 1 X+1 X 0 X+2 1 0 3 2 X+1 X 0 1 3 X+2 2 X 2 0 1 2 1 1 2 X+3 1 X 1 1 2 X+1 X 1 1 1 2 1 2 1 X X X+3 0 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 1 3 X+2 X X+2 1 2 X+1 1 1 X+3 0 0 3 1 X+3 X+2 X+2 X 2 X+3 X+1 X+3 1 3 X+2 X+1 X 1 1 X+2 0 X+1 2 2 3 1 X 2 0 1 X+3 1 3 1 1 X+2 3 1 X+2 X+1 X 2 2 X+1 X 3 X+1 0 3 X+1 1 0 X+1 X+1 1 X+3 0 3 X+2 1 3 X 2 2 1 X+3 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X+2 2 2 0 X 0 X 2 X 2 X 0 X+2 2 0 0 X 2 X 0 2 X+2 X+2 2 2 X X 0 0 X+2 X 2 0 X+2 X+2 X+2 X 2 X 2 0 X+2 X+2 2 2 0 X X 0 X+2 X+2 0 X+2 0 2 0 X X 2 2 X+2 0 X X X X+2 2 X 2 0 X+2 0 X X+2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 0 2 0 2 2 2 0 2 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 2 2 generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+80x^81+245x^82+428x^83+563x^84+750x^85+947x^86+1054x^87+1204x^88+1238x^89+1296x^90+1252x^91+1259x^92+1212x^93+1015x^94+990x^95+780x^96+640x^97+465x^98+314x^99+219x^100+132x^101+109x^102+52x^103+60x^104+40x^105+18x^106+6x^107+7x^108+2x^109+1x^110+3x^112+2x^113 The gray image is a code over GF(2) with n=364, k=14 and d=162. This code was found by Heurico 1.16 in 19.2 seconds.