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 2 X 0 X X 0 1 2 1 1 1 1 X X 1 2 1 1 X 1 1 2 1 X X X 1 1 2 1 0 1 1 1 X 2 1 1 1 1 X 1 X 1 X 0 X 0 0 0 0 0 0 2 2 X X+2 X 0 0 2 X+2 X+2 X X X X 0 X X+2 X 0 X X+2 2 X+2 2 2 X+2 X 0 0 X 2 0 X X 2 2 X X+2 X 2 X X+2 2 2 X 0 X 2 X 2 X X+2 X X+2 2 2 X+2 X+2 X 2 X 0 X+2 0 X X+2 2 X+2 0 X 0 X+2 0 X X X+2 0 0 0 0 X 0 0 0 0 0 0 0 0 0 2 X+2 X+2 X+2 X X+2 X+2 X 2 2 X+2 X+2 0 0 X X X X+2 X+2 X+2 2 2 X+2 X X 2 2 X 0 2 2 0 X 0 X X X+2 0 0 2 X 2 X 2 X 0 2 2 X 2 X X+2 2 X+2 0 0 X+2 0 2 2 X X 2 X+2 2 X+2 0 2 X+2 X 2 0 X X+2 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 X 2 2 0 2 2 2 2 2 X X+2 X 2 X X+2 X+2 X X+2 0 2 0 0 0 X+2 X+2 X 0 X+2 X X 2 X X+2 X+2 X X 2 2 X+2 X 0 2 X+2 2 2 0 X X X X+2 2 X 2 0 2 X 0 0 0 X 0 2 0 X+2 2 2 2 X X X+2 0 X 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 X X 0 2 X 0 X+2 X+2 X X+2 X 2 2 X 2 2 0 X+2 2 0 X+2 X X+2 2 0 X+2 X X X+2 2 0 0 0 0 0 0 0 X+2 X+2 2 X+2 0 2 X X 2 0 X X 2 0 X X+2 X 0 X X+2 X+2 X X+2 0 X X+2 X X+2 2 X+2 X 2 X 2 X+2 0 0 0 0 0 0 X X 2 X+2 X X+2 2 X X 0 X 0 X+2 X+2 0 X 2 2 X+2 2 X X+2 X+2 2 X 2 2 X+2 0 X X+2 0 0 0 X X+2 X+2 X 2 2 X+2 X+2 X X X X+2 0 X+2 X+2 X+2 0 X+2 0 0 2 0 X+2 2 0 X 0 X 0 2 0 X+2 X 2 0 0 X X+2 X X X X X+2 X+2 0 X X generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+221x^76+8x^77+424x^78+56x^79+583x^80+136x^81+688x^82+316x^83+876x^84+516x^85+794x^86+492x^87+878x^88+324x^89+598x^90+148x^91+394x^92+36x^93+274x^94+12x^95+204x^96+4x^97+92x^98+61x^100+32x^102+13x^104+10x^106+1x^128 The gray image is a code over GF(2) with n=344, k=13 and d=152. This code was found by Heurico 1.16 in 11 seconds.