The generator matrix 1 0 0 1 1 1 X+2 1 2 1 1 X 1 2 1 X+2 1 1 X+2 0 1 X 1 0 1 X+2 1 1 1 1 X+2 1 0 1 1 2 X+2 0 1 1 1 1 1 X 1 1 0 1 0 1 X+2 2 1 1 X+2 X 1 2 1 X+2 1 0 1 1 1 X+2 1 1 0 X+2 0 1 X+2 1 2 1 1 2 2 1 1 1 1 0 X+2 1 1 0 1 0 0 1 X+3 1 3 1 X X+1 1 X 2 X 1 X+3 X+2 1 X 1 1 X+2 1 2 X+2 X+3 1 X+1 2 0 0 1 3 X+2 X 1 1 X+2 3 X+1 X+1 0 X+2 X+1 X 1 2 0 X+3 1 2 1 X X 1 X+1 1 2 1 X+3 1 2 1 2 1 0 3 1 1 X 2 0 3 X X+3 3 1 X X 2 X+3 X+3 1 X+2 X+2 X+3 0 0 1 1 1 0 1 X X+1 X+3 1 X+2 X 1 X+3 3 3 0 2 1 2 X X+2 X+1 3 1 3 X+1 X 1 1 X+2 X+1 2 1 1 X+3 2 2 X X X+3 3 1 X+1 X X+2 X+3 1 2 2 1 0 X+3 1 X+3 X X+1 X+2 2 X+3 1 3 X+1 X+3 3 1 X+2 3 0 1 0 1 2 1 0 X 3 1 X+1 X 0 X+3 3 1 0 X+3 0 0 0 X 0 0 2 0 2 X 2 2 0 X+2 0 X X+2 X+2 X+2 X+2 X+2 X+2 X+2 X+2 2 0 0 X+2 X+2 X X X 0 2 X 0 2 X 0 2 0 X 2 X X 0 2 X+2 X 0 X 2 X+2 X 0 2 X+2 X X 0 2 0 2 0 X 2 2 X 0 2 X 0 X+2 2 X+2 X+2 2 0 2 X+2 X+2 0 0 X 0 X 0 0 0 0 0 X X+2 X+2 X+2 X 0 X 2 2 0 0 X+2 X 0 0 0 X+2 0 2 X+2 2 2 2 2 0 X X+2 X+2 2 0 X+2 X 2 X X 0 X+2 0 X 2 X X+2 X 0 X X+2 2 0 X X+2 X X 2 2 0 X+2 0 X X+2 X X X+2 X+2 2 0 0 2 2 X X 2 X 2 0 X+2 X+2 X+2 2 0 X+2 0 X X+2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 2 0 0 0 0 2 0 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 2 0 2 2 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+362x^78+180x^79+876x^80+344x^81+1474x^82+508x^83+1682x^84+700x^85+1943x^86+684x^87+1849x^88+648x^89+1646x^90+536x^91+1147x^92+300x^93+707x^94+136x^95+339x^96+56x^97+156x^98+4x^99+42x^100+35x^102+15x^104+12x^106+1x^108+1x^110 The gray image is a code over GF(2) with n=348, k=14 and d=156. This code was found by Heurico 1.16 in 65.9 seconds.