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 X X X X X X X X 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 X 2 2 2 X X X 2 X X X X 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 2 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 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 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 2 0 2 0 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+29x^84+60x^86+104x^88+143x^90+91x^92+47x^94+16x^96+5x^98+12x^100+1x^102+2x^104+1x^136 The gray image is a code over GF(2) with n=360, k=9 and d=168. This code was found by Heurico 1.16 in 0.443 seconds.