The generator matrix 1 0 0 1 1 1 0 1 1 2 1 X 1 X+2 1 X+2 1 1 X+2 0 2 1 1 1 0 X+2 1 1 1 X 1 2 1 1 1 X 1 X+2 1 0 1 2 1 X+2 2 1 1 X 1 0 1 1 X 1 X+2 1 1 X+2 X+2 X 1 1 0 1 1 1 1 1 0 0 2 1 1 2 2 0 1 1 0 X 1 1 1 0 1 1 1 0 1 0 0 1 1 1 2 1 1 X+1 X+2 X 1 X+2 1 X+2 X+1 1 X+2 1 X+1 2 X+3 1 2 X+2 3 2 1 X 1 X+1 X+3 X+2 2 3 X 3 1 X+3 1 0 1 X+2 X+2 X 1 X 1 X 3 1 0 1 0 1 1 1 0 X+3 X+3 X 0 3 X+2 2 2 X X+2 1 1 X+1 1 1 1 X+1 2 X 1 1 X+1 X+1 0 X+1 X+1 X+3 0 0 1 X+1 X+3 0 X+1 X 1 X 0 1 1 1 X 0 X+1 X+1 X+1 1 X+2 2 3 1 3 1 0 0 X+2 X 1 X+3 3 X+2 X+2 1 X+2 1 X+2 3 X+3 X+3 1 X+2 1 1 X+3 2 X+2 1 2 3 1 X+3 1 1 X+1 0 X 1 0 X 1 X+3 1 X+1 0 0 1 1 X+3 2 X+1 X+1 X X 3 2 1 1 2 X X+1 1 X 1 1 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+134x^79+318x^80+312x^81+782x^82+464x^83+793x^84+536x^85+850x^86+400x^87+771x^88+412x^89+597x^90+346x^91+505x^92+222x^93+262x^94+150x^95+137x^96+44x^97+58x^98+36x^99+29x^100+8x^101+8x^102+4x^103+5x^104+3x^106+2x^107+1x^108+2x^109 The gray image is a code over GF(2) with n=348, k=13 and d=158. This code was found by Heurico 1.16 in 58.1 seconds.