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 2 2 1 X 2 X 0 1 1 0 X X 2 1 X 1 1 1 1 1 1 0 2 1 1 1 0 X 1 2 1 X 0 1 0 X X 1 1 1 X 0 1 0 2 0 X 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X 2 0 X X X+2 X X 0 2 2 X X 0 0 2 0 2 X+2 X+2 2 2 0 X 0 X+2 0 2 X+2 2 X X 0 2 X 0 0 2 2 0 X X+2 X+2 X 2 0 X+2 2 2 X+2 0 2 X 0 X X 2 0 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 X X 0 X+2 2 0 0 0 X+2 2 2 X+2 0 X X 2 X 0 2 X X X+2 X+2 0 2 X+2 X X+2 X+2 0 X X X 2 2 X+2 0 X X X+2 X+2 2 2 2 X X+2 0 2 X 2 X+2 X 0 X X+2 0 0 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 2 2 X+2 2 X 2 0 X+2 0 X 0 X 0 X X X+2 X 0 2 0 0 0 0 2 X X+2 2 0 X+2 X+2 0 0 0 X 0 0 X+2 X X+2 2 X X+2 0 0 2 X+2 0 X+2 2 X 0 2 0 2 X 2 X 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 0 2 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 0 0 0 2 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 2 2 0 2 0 0 2 0 2 2 0 2 2 2 2 2 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 0 0 2 2 2 0 2 0 0 0 2 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+121x^74+4x^75+320x^76+52x^77+485x^78+112x^79+642x^80+244x^81+773x^82+380x^83+773x^84+444x^85+867x^86+436x^87+804x^88+220x^89+498x^90+80x^91+348x^92+64x^93+226x^94+12x^95+127x^96+87x^98+36x^100+13x^102+18x^104+1x^106+2x^108+1x^110+1x^116 The gray image is a code over GF(2) with n=340, k=13 and d=148. This code was found by Heurico 1.16 in 8.47 seconds.