The generator matrix 1 0 0 0 1 1 1 X X+2 1 1 1 X+2 0 1 0 1 0 1 1 X+2 1 1 1 X+2 1 1 2 0 1 X X 0 X+2 2 1 1 X+2 1 X+2 2 1 X 2 1 1 1 1 1 1 1 1 X+2 1 2 2 X+2 X+2 2 1 2 1 1 1 X+2 2 2 2 1 X 0 1 1 1 1 1 X X+2 1 2 1 1 1 1 1 1 1 X 1 1 0 1 0 0 X 0 X+2 X+2 1 3 3 3 1 1 X+1 X+2 X+1 1 X 3 1 0 X+3 X 0 2 X+1 0 X 1 1 X+2 1 1 1 X X+1 2 X+2 1 1 3 1 X 0 X+2 X+1 2 1 X+1 X+2 X+3 X X+2 1 0 1 1 1 1 1 1 X+2 1 1 1 X+2 0 3 1 1 X 3 X+1 1 3 0 1 3 0 1 2 X+3 2 2 3 X+3 1 1 X 0 0 1 0 X 1 X+3 1 3 X+2 3 2 0 X+3 1 1 X 2 2 1 0 3 1 0 1 X+1 X+2 1 X+2 1 X+1 1 X+2 3 1 1 0 X 3 2 X+2 X X+3 1 0 X X+3 X X+1 X+2 X+3 2 1 X+2 X+3 1 0 X+2 X+1 X 0 1 3 2 3 1 0 0 X+1 X X+2 X+2 X+3 X+1 X+1 0 2 1 X+1 0 3 0 1 1 1 3 1 0 3 X+2 0 0 0 1 X+1 1 X X+3 0 2 0 X+3 X+3 X+1 3 0 1 X 0 X+3 1 X+3 X+2 1 3 X+2 X X+2 1 X+3 X+3 1 1 X+2 3 X+3 X+1 1 X X X+3 X+2 X 1 X+2 1 2 0 X+3 3 X+1 2 0 1 1 X+3 1 2 0 X+1 3 X+2 X 1 1 2 1 1 X+3 1 X+2 X+3 X+2 X+2 2 X+3 1 X+3 X+2 1 X+3 1 X 0 X X+2 3 1 1 X+1 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 2 0 0 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+234x^81+372x^82+618x^83+867x^84+1064x^85+1008x^86+1318x^87+1077x^88+1290x^89+1217x^90+1292x^91+1135x^92+1068x^93+843x^94+808x^95+613x^96+568x^97+312x^98+278x^99+145x^100+114x^101+52x^102+34x^103+29x^104+12x^105+3x^106+4x^107+5x^108+2x^109+1x^110 The gray image is a code over GF(2) with n=360, k=14 and d=162. This code was found by Heurico 1.16 in 17.5 seconds.