The generator matrix 1 0 0 0 0 1 1 1 2 1 1 1 X+2 1 0 X+2 1 2 1 X 1 0 1 1 1 X X 1 X+2 0 X+2 2 1 2 0 1 1 1 1 1 1 1 0 0 1 1 X 1 2 0 X+2 X 2 X 1 X 1 1 1 0 1 1 2 1 1 1 X+2 1 0 X+2 1 1 X 1 1 1 1 X+2 1 0 X+2 X 2 1 1 0 1 0 0 0 0 0 0 0 X+1 2 2 2 2 1 1 X+3 1 3 X+2 3 1 X+3 3 X+2 X 1 3 1 1 1 1 X+3 2 X+2 X+2 X+1 X X+3 3 2 3 1 X X+1 2 1 X 2 X+2 X+2 1 1 1 X+3 1 X+3 X+1 1 X 2 X+2 1 0 2 1 0 X X 1 2 X+2 1 X+1 X+3 1 3 0 X+2 X 1 1 2 X X+2 0 0 1 0 0 0 1 3 1 2 X X+3 1 0 X+3 0 X X 1 X+2 3 3 1 X+3 1 1 X+3 X+2 X X+2 X+1 X X X+2 1 X+2 3 1 2 2 2 3 X+1 X X+2 X 0 X+3 1 1 1 X+1 0 X+2 X+1 0 0 X 2 X 0 X+1 X+1 3 3 3 1 X+1 0 0 X+2 0 X+1 X X+1 X+3 3 X X 1 0 3 1 3 X+2 0 0 0 1 0 1 1 2 3 3 0 X+2 X+2 X+1 X X+3 X X+1 X 1 X+3 0 2 X+3 X+3 X+3 3 0 X+2 3 3 X+2 3 1 X X+1 1 3 X+3 2 X+1 X+2 3 X+2 X+1 0 3 3 X+1 3 2 2 1 0 X+2 X X+2 X+2 X+1 1 2 X 1 3 3 X+3 X+2 X+2 2 X+1 2 X+3 X+2 0 2 3 X 1 2 3 X+1 3 2 1 X 0 0 0 0 1 1 2 1 1 3 X+3 X+2 1 X X+1 3 1 0 3 X+1 X+2 X+2 X X+1 X+3 2 X+2 2 2 1 3 1 2 1 3 X X+3 X+2 X+3 0 3 0 0 1 X+2 X 0 X+2 X+3 2 X+3 3 3 0 0 X+3 3 3 3 X+1 1 3 3 X+3 X 2 X 0 1 3 X+3 0 X 0 0 3 X+2 X+2 X 0 2 X+1 X X+3 X+3 0 0 0 0 0 X 0 0 0 0 0 0 0 0 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 2 2 2 2 X+2 X X X X+2 X+2 X X X X X+2 X+2 X X X X+2 X X X X+2 X X+2 X X 2 X X X 2 X+2 X+2 X X X+2 2 X+2 2 X+2 X 2 X 2 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+236x^73+669x^74+1258x^75+2090x^76+2632x^77+4034x^78+5286x^79+6611x^80+7540x^81+8735x^82+10024x^83+10238x^84+11410x^85+10868x^86+10154x^87+9406x^88+8028x^89+6593x^90+5002x^91+3626x^92+2560x^93+1756x^94+878x^95+666x^96+396x^97+153x^98+92x^99+62x^100+30x^101+20x^102+10x^103+4x^104+2x^106+2x^110 The gray image is a code over GF(2) with n=340, k=17 and d=146. This code was found by Heurico 1.13 in 539 seconds.