The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 0 X X X 2 2 X X 2 1 2 2 1 X X X X 1 0 2 1 X 0 X 1 1 1 0 1 0 X 1 1 1 1 2 1 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 X X 2 X 2 X 0 X X+2 2 X X+2 0 2 0 2 2 0 X X+2 X+2 X+2 X 0 X 0 X X X+2 X+2 X+2 X+2 X X+2 X 2 2 2 X+2 X X 0 0 2 X+2 X 2 0 X X X 0 X+2 X+2 X X 0 2 0 0 0 0 2 0 X 2 X+2 X 2 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 X+2 0 2 X X X+2 X+2 2 X+2 0 0 2 X 0 X+2 X 2 X+2 X 2 X 2 0 X 0 2 0 X X+2 X X 0 2 2 2 X 0 0 X+2 0 2 X X X X 0 X+2 2 X X+2 0 2 X 0 X+2 X 2 X 2 0 X+2 X 2 0 X 2 X+2 0 X+2 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 2 0 X 0 2 X X X X 2 0 2 X 2 2 X 2 X 2 2 X X+2 0 0 X X+2 X+2 X+2 2 X 0 X X X+2 X+2 X X 0 2 2 2 2 0 X X X+2 X X X X 2 X 0 0 0 X X X+2 X+2 0 X X X X+2 X+2 X+2 0 X X+2 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 2 X+2 X 2 X 0 X+2 2 X+2 X+2 X X X X+2 X 2 0 2 X 2 2 X 0 0 2 X+2 X+2 2 2 0 2 0 X X+2 0 X+2 X+2 X X+2 0 X+2 X 2 0 X+2 X X+2 2 2 2 2 0 X 2 0 0 X X 2 0 2 X X X+2 X+2 2 X 2 X+2 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 0 2 2 X 0 X 2 2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 2 X X+2 X+2 0 X+2 X 0 X+2 X X+2 X 0 2 X X 2 0 0 2 0 X X+2 X+2 0 0 0 X X 0 X 0 0 X X+2 X+2 0 X 0 X+2 X 2 X+2 X 2 0 2 X+2 2 2 X+2 0 X 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 2 2 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+225x^78+482x^80+28x^81+783x^82+168x^83+1044x^84+356x^85+1270x^86+644x^87+1581x^88+792x^89+1724x^90+948x^91+1557x^92+600x^93+1325x^94+396x^95+812x^96+140x^97+671x^98+20x^99+368x^100+4x^101+226x^102+139x^104+44x^106+31x^108+2x^110+2x^114+1x^128 The gray image is a code over GF(2) with n=360, k=14 and d=156. This code was found by Heurico 1.16 in 31.7 seconds.