The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 0 1 1 X 1 0 X 1 X 1 X X 1 0 0 X 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 0 X+2 2 X 0 X 2 X+2 X+2 X 0 2 0 X+2 2 X 0 X+2 0 X+2 X+2 2 X X 2 X 0 X+2 0 2 X 0 X+2 X+2 X+2 X X+2 X X 2 X+2 X+2 X X+2 X X 0 2 0 X X X X+2 X X 2 X+2 X X X+2 X X+2 0 X X+2 0 X X X+2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 2 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 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+54x^78+137x^80+8x^81+148x^82+48x^83+198x^84+120x^85+256x^86+160x^87+248x^88+120x^89+176x^90+48x^91+130x^92+8x^93+116x^94+41x^96+8x^98+6x^100+4x^102+4x^104+4x^106+2x^108+2x^110+1x^144 The gray image is a code over GF(2) with n=348, k=11 and d=156. This code was found by Heurico 1.16 in 0.981 seconds.