The generator matrix 1 0 0 0 1 1 1 X 1 0 1 0 0 a^2*X+1 X a*X+1 1 a 0 0 1 0 a^2 a^2*X+1 a^2*X+a a^2*X+1 X 0 0 0 1 1 a^2 X+a X+a^2 a*X+a generates a code of length 9 over F4[X]/(X^2) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+336x^18+672x^19+42x^20+576x^21+3024x^22+2016x^23+4884x^24+3456x^25+9072x^26+9312x^27+14436x^28+5184x^29+9072x^30+3360x^31+75x^32+18x^36 The gray image is a linear code over GF(4) with n=36, k=8 and d=18. This code was found by Heurico 1.16 in 0.907 seconds.