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 2 2 1 X 1 X 1 X 1 X X 1 1 1 X 0 0 1 1 X 1 X 1 1 1 1 X 1 2 2 1 1 X 0 1 1 1 X 0 X X X 1 X X 1 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 0 X+2 X+2 X 0 X 2 0 X X X+2 X X 0 2 0 X X X X+2 X X+2 X X 2 X+2 0 0 X 0 2 0 2 X 0 2 X X+2 X+2 X X X 2 X 2 X X 2 2 2 0 0 X X+2 X+2 X 0 0 2 X+2 X X+2 X 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 X X+2 2 2 X+2 X X 0 X+2 2 0 0 0 X+2 0 X+2 2 X+2 2 X+2 2 2 X+2 X+2 X+2 X+2 X+2 2 0 2 X+2 X X 2 X 0 2 X+2 0 0 2 2 X+2 2 0 X+2 X X+2 0 X 0 0 2 X+2 X X 2 X 0 2 2 2 X 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 X+2 X+2 0 X 0 2 2 X+2 2 X 2 0 X+2 0 X X X X+2 2 X 2 0 X X+2 X+2 2 0 0 X+2 X+2 0 0 0 X X 2 2 X X X+2 2 X X 0 0 0 X+2 2 2 X X X X+2 X+2 X 0 X+2 X X+2 0 2 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 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 2 0 0 0 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 2 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+58x^75+146x^76+154x^77+195x^78+294x^79+354x^80+448x^81+380x^82+528x^83+794x^84+554x^85+528x^86+658x^87+710x^88+594x^89+360x^90+328x^91+267x^92+208x^93+120x^94+136x^95+113x^96+70x^97+66x^98+38x^99+32x^100+20x^101+12x^102+8x^103+14x^104+1x^106+1x^108+1x^110+1x^122 The gray image is a code over GF(2) with n=344, k=13 and d=150. This code was found by Heurico 1.16 in 14 seconds.