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 1 1 1 X X X 1 0 2 1 1 X 1 X X 1 0 0 1 1 0 1 1 1 1 1 1 2 X 1 1 X 1 1 0 1 0 1 X 2 1 0 2 1 X 1 2 1 2 2 X 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 0 X+2 X+2 X 0 X 2 0 X X X+2 X X 0 2 2 X+2 X X+2 X X 0 X X X X X X 0 2 2 0 0 2 X 0 0 2 X+2 0 X+2 X 2 2 2 X+2 2 0 2 0 0 X 2 2 X+2 0 2 2 2 0 2 X X X 2 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 X X+2 2 2 X+2 X X 0 X+2 2 0 0 0 X+2 2 X X X+2 2 0 X 0 X+2 X X+2 X 2 X 2 X 2 X+2 X 0 X+2 0 2 0 0 X X 0 X 2 X 0 X+2 0 0 X 2 X+2 X 2 0 0 X+2 X+2 2 X X X X 0 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X X+2 X+2 0 X 0 2 2 X+2 2 X 2 0 X+2 0 X 0 2 0 X+2 X 0 2 X+2 X 2 2 X+2 X X X+2 0 X 0 2 X 2 X X X+2 X+2 X 0 X+2 X 2 2 X X X X+2 X X+2 X+2 X X X X 2 X+2 2 0 0 0 2 X 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 0 2 2 0 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+97x^76+8x^77+336x^78+44x^79+462x^80+124x^81+680x^82+260x^83+735x^84+372x^85+878x^86+428x^87+884x^88+396x^89+677x^90+236x^91+530x^92+116x^93+314x^94+56x^95+247x^96+8x^97+133x^98+99x^100+48x^102+14x^104+5x^106+2x^108+1x^114+1x^124 The gray image is a code over GF(2) with n=348, k=13 and d=152. This code was found by Heurico 1.16 in 8.67 seconds.