The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 X+2 1 0 1 X+2 1 1 1 1 1 1 X+2 1 1 X 1 1 0 1 1 X+2 1 1 X+2 1 2 1 X 1 1 1 1 1 X+2 1 2 0 2 1 1 X 1 1 1 1 0 1 1 1 X+2 1 2 2 1 1 X 0 1 X 0 1 X 1 1 1 1 2 1 X 1 1 0 1 1 0 1 1 2 X+1 1 0 X+1 1 X+2 1 X+3 1 3 1 X X 3 3 X+1 0 1 1 X 1 X+2 X+3 1 3 X 1 3 3 1 2 1 1 1 X X 0 X 0 1 0 1 1 1 0 3 1 X+1 3 1 0 1 X+3 2 1 1 X+3 1 1 X X+2 1 X X+2 1 1 3 1 3 0 X+3 X+1 1 X+3 X 2 2 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 X X+2 X+2 X+2 X+2 X X X+2 X X+2 X X X X+2 X+2 X+2 X+2 X+2 2 X X X 2 2 0 2 X X+2 X 2 2 X X+2 2 X X 0 X+2 X X+2 2 X 2 0 X 2 2 2 0 X X 0 2 X X+2 0 X+2 X 0 0 0 X 0 0 0 0 0 X 0 2 0 X X+2 X 2 X+2 0 X X+2 X X X X+2 2 X+2 2 X 2 2 X X+2 X+2 X X 0 0 2 X+2 X+2 2 X+2 0 X+2 0 2 X X+2 0 X+2 2 0 0 X+2 X+2 2 X+2 X+2 X+2 0 2 0 X 2 X+2 0 0 X+2 2 X 2 X+2 0 0 2 X X+2 0 X X X 0 X 0 0 0 0 X 0 2 X+2 X 2 2 X+2 X X X+2 2 0 2 X+2 X+2 X+2 2 0 X X+2 0 0 X+2 2 X 2 2 X 2 X+2 0 2 0 X+2 X 2 2 X+2 X 2 X 0 0 X+2 X+2 0 2 X+2 X+2 X+2 0 X X X+2 X 2 X 0 X+2 X+2 0 X X+2 X 2 X X 2 2 2 X 0 X 2 0 0 0 X+2 X 0 0 0 0 0 X X+2 X+2 X+2 X+2 X 0 X 2 X X 2 2 0 X+2 0 X 2 0 X+2 X+2 X+2 X 2 X+2 X 2 0 2 2 X+2 0 2 0 X+2 X+2 X+2 X X X 2 0 X+2 X X+2 0 0 2 0 0 X+2 X+2 X X+2 0 X+2 X X+2 X X+2 X+2 0 X+2 X+2 X 0 X X+2 0 2 2 X X+2 0 X+2 X 0 X+2 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+44x^73+138x^74+218x^75+323x^76+534x^77+634x^78+824x^79+1059x^80+1186x^81+1284x^82+1386x^83+1401x^84+1324x^85+1328x^86+1126x^87+1007x^88+772x^89+534x^90+426x^91+269x^92+194x^93+98x^94+96x^95+51x^96+30x^97+40x^98+18x^99+12x^100+12x^101+6x^102+2x^103+2x^104+3x^108+2x^110 The gray image is a code over GF(2) with n=336, k=14 and d=146. This code was found by Heurico 1.16 in 21.4 seconds.