The generator matrix 1 0 0 1 1 1 X 1 X+2 1 1 X 1 2 1 1 2 1 X 1 0 1 X 0 0 1 1 1 X 1 1 1 0 X 1 X+2 0 1 2 1 1 1 1 2 X X+2 1 X+2 1 1 1 1 1 2 1 1 1 X 1 X 1 X 1 X 1 1 1 X+2 0 1 1 X 1 0 0 1 1 1 0 1 X 1 1 1 0 1 0 0 1 X+3 1 2 0 2 X+3 1 1 1 2 0 1 1 1 3 X X 1 0 1 X X+1 X+3 1 1 X+2 X 1 2 X+1 X 1 X 1 0 1 0 X+1 1 1 1 X 1 2 X+2 X+3 0 X 1 X+3 X+1 0 1 3 X+2 0 X+2 2 X+2 3 0 X+1 2 X+2 0 2 1 0 1 X X+1 X+3 3 1 1 1 3 X X+3 0 0 1 1 X+1 0 1 X+1 1 X X+1 X 0 1 0 X+1 X+2 3 X+1 2 1 3 X 1 1 X+2 2 3 X+1 1 X+3 X 0 1 X+2 1 1 1 0 X 3 X X+1 X 3 2 X+1 X+2 X 0 X+2 0 2 3 X+2 1 X+3 X+2 X+1 1 X+1 1 X 1 1 1 2 1 1 X+3 0 X+2 0 X+3 1 X+1 1 3 X+2 3 2 X 0 2 0 0 0 X X X+2 2 X+2 0 0 X 2 X+2 0 X 2 X 0 X 2 X+2 0 X+2 X X+2 X+2 2 2 0 X+2 0 2 X+2 X+2 0 2 X X 0 X X X+2 2 X X 2 0 X 2 2 X+2 X X X 2 X+2 0 2 X+2 X X+2 0 X+2 0 2 2 0 X+2 X X 2 0 X X 0 X X+2 0 X X+2 X+2 X X 2 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 2 0 2 0 0 0 2 2 0 2 0 0 2 0 2 2 0 0 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 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 0 2 2 2 2 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 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+170x^76+232x^77+502x^78+424x^79+684x^80+660x^81+726x^82+572x^83+749x^84+536x^85+632x^86+488x^87+416x^88+348x^89+376x^90+220x^91+181x^92+72x^93+88x^94+24x^95+51x^96+8x^97+10x^98+19x^100+1x^108+2x^110 The gray image is a code over GF(2) with n=336, k=13 and d=152. This code was found by Heurico 1.16 in 5.23 seconds.