The generator matrix 1 0 0 0 0 1 1 1 2 1 1 0 1 X+2 1 X+2 X+2 1 2 0 0 1 1 X 1 X+2 0 1 1 1 1 1 X+2 X+2 X+2 1 X 1 1 0 2 X 0 0 1 X 1 X X 1 1 X X+2 1 1 1 1 2 1 0 1 2 1 1 1 1 1 X 0 1 1 1 0 1 2 X 1 1 1 1 1 1 X X+2 1 0 1 0 0 0 0 0 0 0 1 1 1 3 1 X+3 1 2 2 1 1 2 X 2 1 X+1 1 X 3 X+2 X+1 X+2 X+2 1 X 1 1 1 3 X+2 X 1 0 2 0 0 X+2 X+1 1 1 X+3 X+2 X+2 0 X X+1 1 X+1 1 X X+2 X+2 1 X+3 X+3 2 X+1 X+3 X 1 1 3 X 1 X+1 1 X+2 X+3 X+1 3 1 X X 1 X 0 0 0 1 0 0 0 1 1 1 3 1 2 X 1 X+2 X+3 1 X+2 X+1 X 1 3 2 X+1 0 0 X 1 3 1 X X X+3 2 2 0 3 X+2 1 1 X 2 X+2 1 1 1 3 2 3 3 X+3 1 2 2 X+3 1 X+1 X+1 X 1 X+1 3 1 0 2 X+2 2 1 X+3 X+3 1 2 X+3 X+2 1 1 X+1 3 X+3 X+2 X+3 1 2 0 2 0 0 0 1 0 1 1 0 3 2 X+1 X+3 X+2 3 3 2 X+1 X X 1 0 X+1 X+1 1 X+2 X+2 1 X+2 2 X+3 1 X 2 0 1 0 3 3 X 0 3 1 1 3 X X+1 3 2 0 X+2 1 2 1 X+1 1 0 0 X X+3 X+1 0 1 3 0 0 1 3 3 X+1 X 2 X 0 X+2 X 0 X+2 X+3 1 3 3 1 X+1 X+2 0 0 0 0 0 1 1 2 3 1 0 X+1 X+3 X+1 0 0 X+1 2 1 2 2 X+3 3 X 3 X 1 1 1 X 2 X+3 1 X 1 X+3 X+1 3 X+1 3 3 X 2 3 X+1 2 X X+1 3 X+3 1 3 0 X 3 2 X 0 1 X+2 2 X 1 0 X 2 1 X+2 2 X+1 X 1 X+2 X 3 3 3 X+3 X 3 1 X+2 X+2 X+1 1 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 2 0 0 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+207x^74+592x^75+1013x^76+1558x^77+2066x^78+2916x^79+3257x^80+3768x^81+4522x^82+4890x^83+5382x^84+5186x^85+5527x^86+5170x^87+4457x^88+3912x^89+3072x^90+2622x^91+1864x^92+1518x^93+967x^94+470x^95+311x^96+104x^97+81x^98+40x^99+23x^100+18x^101+4x^102+4x^103+10x^104+2x^106+2x^108 The gray image is a code over GF(2) with n=340, k=16 and d=148. This code was found by Heurico 1.13 in 83.2 seconds.