The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 X X 1 1 0 1 1 0 1 1 X+2 1 1 1 1 2 1 1 X+2 1 1 1 1 2 1 1 1 X 2 1 X 2 1 1 X 1 1 1 1 1 1 1 1 X+2 X+2 1 2 1 1 1 2 1 2 X X+2 1 1 1 1 X+2 X 2 1 1 1 1 1 1 1 1 0 1 1 0 X+3 1 X+1 X+2 1 2 3 1 X X+3 1 1 1 X+2 1 1 X 1 0 X+1 1 X+2 1 2 X+1 1 3 X+1 1 X 1 0 X+3 1 X 1 2 1 1 X 1 1 X+3 2 1 1 3 0 X+3 2 1 X 0 1 1 X+1 1 2 2 X+2 1 2 1 0 1 2 X+2 1 X+1 1 1 1 X+1 X+3 0 X+1 3 X+2 1 2 0 0 X 0 X+2 0 2 2 X X+2 0 X+2 X+2 2 0 X X+2 X+2 X+2 2 0 0 X X+2 X+2 0 2 X+2 2 X+2 0 2 2 X X 0 X 0 X 2 0 0 0 X X+2 0 X+2 0 X+2 X 2 X X+2 0 0 X X X 2 X+2 X+2 X 2 2 2 X X+2 2 0 X+2 0 2 X X+2 X+2 X 2 0 2 X+2 X+2 X 2 2 0 0 0 X 0 0 0 2 2 2 2 0 2 X+2 X+2 X X+2 X+2 X X+2 X+2 X X+2 X+2 X+2 2 X 2 X+2 0 0 0 0 X 2 2 X+2 X+2 0 2 X+2 X X+2 X+2 0 0 X 0 0 X 0 X+2 0 0 2 2 X X+2 X+2 0 2 X+2 X X+2 X 2 X X X 2 0 X 0 2 X 0 2 X+2 2 X X X X+2 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 2 2 0 0 0 0 2 0 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 0 2 0 0 2 0 2 2 0 2 0 0 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+46x^76+110x^77+222x^78+298x^79+289x^80+340x^81+358x^82+322x^83+314x^84+332x^85+333x^86+286x^87+216x^88+202x^89+165x^90+98x^91+49x^92+24x^93+20x^94+12x^95+6x^96+10x^97+16x^98+4x^99+6x^100+6x^101+4x^102+4x^103+1x^108+1x^110+1x^114 The gray image is a code over GF(2) with n=336, k=12 and d=152. This code was found by Heurico 1.16 in 1.54 seconds.