The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 1 0 1 0 X 1 1 1 1 X 1 X 1 1 2 2 1 1 1 X+2 1 1 2 1 1 X X 0 0 0 1 2 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 X X+2 1 0 1 1 2 2 X+2 X+2 X+2 1 X+2 X X+2 1 X+2 2 X+2 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X X 0 X 3 1 1 1 2 X+2 0 X+3 X+1 1 0 1 X+3 X+2 1 X+2 X+3 X+2 X+1 1 X+3 X+2 1 X+2 3 X+2 1 X+2 1 1 3 0 X+2 X+2 1 0 X+1 X X+2 1 X+2 2 X+2 3 X 2 X 1 2 3 0 0 2 1 1 1 1 1 0 0 1 1 0 1 1 1 2 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 X+1 X+2 1 1 X+3 0 X+2 1 2 X+3 3 X 1 X+2 X+2 X 2 2 1 X+1 1 X+3 3 X+2 1 2 X+2 X+2 1 2 1 1 1 1 1 X+1 1 X X+2 3 0 1 X+2 1 X+3 X+3 3 X 0 X+3 X+1 1 1 1 X+2 1 0 0 X+3 3 X+1 2 1 X X+1 3 2 3 3 0 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X 0 X+2 2 0 0 X+2 X X 2 0 2 X 2 2 2 X X+2 0 X+2 0 0 X 2 0 X+2 X+2 X X 0 0 X 0 X 0 X+2 2 X+2 0 X 2 2 X X 0 0 X X+2 0 2 X+2 X 2 2 X+2 2 X+2 X X X 2 X 0 2 X+2 X+2 X 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 0 2 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+50x^74+160x^75+465x^76+546x^77+816x^78+746x^79+1145x^80+1084x^81+1484x^82+1072x^83+1433x^84+1178x^85+1436x^86+1038x^87+1151x^88+718x^89+681x^90+348x^91+346x^92+136x^93+114x^94+78x^95+52x^96+38x^97+24x^98+12x^99+11x^100+12x^101+2x^102+2x^103+3x^104+1x^106+1x^108 The gray image is a code over GF(2) with n=336, k=14 and d=148. This code was found by Heurico 1.16 in 17 seconds.