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 1 1 1 1 1 1 1 1 1 1 1 1 X X 0 X X X 2 2 X X 2 1 X 1 2 0 X X X 1 1 1 2 1 X 1 1 1 1 1 1 1 0 2 1 1 X 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 X X 2 X 2 X 0 X X+2 2 X X+2 0 2 0 2 2 0 X X+2 X+2 X+2 X 0 X 0 X X X+2 X+2 X+2 X+2 X X+2 X 2 2 2 X+2 X X 0 X+2 X+2 2 0 X+2 2 2 X+2 0 2 X 2 0 X+2 2 0 0 X+2 X+2 2 X X 2 X X 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 X+2 0 2 X X X+2 X+2 2 X+2 0 0 2 X 0 X+2 X 2 X+2 X 2 X 2 0 X 0 2 0 X X+2 X X 0 2 2 2 X 0 0 X+2 0 2 X 2 X X X 0 X 2 2 X 2 X X X+2 2 2 X+2 2 2 X+2 X+2 2 X+2 2 0 X 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 2 0 X 0 2 X X X X 2 0 2 X 2 2 X 2 X 2 2 X X+2 0 0 X X+2 X+2 X+2 2 X 0 X X X+2 X+2 X X 0 2 2 2 2 X+2 X X 0 X X+2 0 X X+2 0 X 0 0 2 0 2 X 2 X X 2 X+2 X 2 X+2 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 2 X+2 X 2 X 0 X+2 2 X+2 X+2 X X X X+2 X 2 0 2 X 2 2 X 0 0 2 X+2 X+2 2 2 0 2 0 X X+2 0 X+2 X+2 X X+2 0 X+2 X 0 X+2 0 2 X+2 X X+2 X+2 X+2 X X+2 0 X+2 2 0 X+2 2 X X+2 0 X+2 X+2 0 X+2 X 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 0 2 2 X 0 X 2 2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 2 X X+2 X+2 0 X+2 X 0 X+2 X X+2 X 0 2 X X 2 0 0 2 0 X X+2 X+2 0 0 2 X X 0 0 X+2 X 2 0 2 0 2 X X+2 X+2 X 0 0 X X X+2 0 X+2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 2 0 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+186x^76+508x^78+20x^79+692x^80+116x^81+1050x^82+400x^83+1222x^84+580x^85+1597x^86+920x^87+1957x^88+952x^89+1602x^90+592x^91+1266x^92+376x^93+850x^94+116x^95+541x^96+20x^97+394x^98+225x^100+4x^101+125x^102+49x^104+18x^106+4x^108+1x^132 The gray image is a code over GF(2) with n=352, k=14 and d=152. This code was found by Heurico 1.16 in 30.8 seconds.