The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 0 1 1 0 1 1 1 1 X 1 1 2 X 1 1 X 1 1 X X+2 1 1 1 1 1 1 1 1 2 1 1 X+2 X 0 1 X+2 1 X 1 X 1 2 1 1 0 1 1 1 0 1 1 1 X 1 1 1 X+2 1 1 X 1 X 1 2 2 1 1 2 1 0 1 1 0 X+3 1 X X+3 1 3 1 0 1 X+2 1 1 X 1 1 X+1 2 X+3 X+2 1 X 3 1 1 1 X 1 1 2 1 1 X+3 0 X+3 3 X+3 2 X+1 X+3 1 2 X 1 1 1 X+1 1 2 1 X 1 X+2 1 2 X+1 1 3 X+2 X+3 1 1 X+1 0 1 X+2 X+1 0 1 1 X+1 0 3 1 1 1 2 0 X+1 0 1 0 0 X 0 X+2 0 0 2 2 0 2 X 0 X X X X X+2 X 0 X+2 X+2 0 X X+2 X+2 X 2 0 2 X X+2 X+2 0 2 X+2 0 2 2 0 2 X+2 X X+2 2 0 2 X X+2 0 X 0 2 X X X+2 2 X+2 0 0 X X X 2 X+2 X+2 X X+2 X 2 0 X+2 X+2 2 0 0 X+2 0 2 X 2 X+2 X X+2 0 0 0 X 0 0 X X+2 X+2 2 X X X+2 X+2 X X 2 X 0 0 2 X 2 2 X+2 X+2 X X+2 X X+2 2 0 2 0 2 2 2 2 2 X X+2 0 X X 0 2 X 0 2 0 0 X+2 X+2 2 X+2 X 0 X+2 X X 0 X+2 X X X 2 0 X+2 X X+2 0 X 0 2 X X+2 0 2 0 0 0 X 0 0 0 0 0 0 2 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 0 0 2 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 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 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 0 0 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+88x^75+189x^76+262x^77+386x^78+446x^79+559x^80+634x^81+679x^82+716x^83+646x^84+638x^85+583x^86+562x^87+501x^88+386x^89+318x^90+184x^91+110x^92+102x^93+54x^94+38x^95+32x^96+20x^97+18x^98+12x^99+6x^100+4x^101+9x^102+2x^103+3x^104+1x^108+2x^109+1x^114 The gray image is a code over GF(2) with n=336, k=13 and d=150. This code was found by Heurico 1.16 in 32 seconds.