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 2 X 0 X 2 1 X 1 X 1 2 X 2 1 0 1 1 2 1 1 1 1 1 0 2 0 1 1 2 1 X 1 X 1 1 X 1 X 1 X X 1 1 X X 1 1 1 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 X X 0 X+2 2 X 2 X+2 X+2 X 0 0 X 2 X X+2 X X X+2 0 0 X+2 X+2 X 2 X X+2 X+2 X X+2 X+2 2 X+2 0 X X+2 2 X X X X 2 X+2 2 0 0 X 2 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+2 0 2 X X 0 0 2 2 X 2 X X+2 2 X+2 X+2 0 X+2 X+2 2 0 2 2 2 X 2 0 X 0 0 2 2 X+2 X+2 0 X+2 0 X+2 X+2 X+2 X+2 2 2 0 2 X X+2 X 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 X+2 X X+2 2 2 X 2 X 0 0 X X X+2 0 X+2 2 X+2 0 X 2 0 X X 0 0 X X 2 0 0 X+2 2 X+2 2 X+2 0 2 0 X+2 2 2 0 X+2 X+2 X+2 X+2 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+2 X X+2 X+2 2 2 2 X+2 0 0 0 0 0 0 2 2 2 0 X+2 X 0 X 0 X X+2 X+2 X 2 X+2 0 X X 2 0 0 X 0 X+2 0 0 X 2 2 0 2 X 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 0 X X X+2 X+2 0 0 X+2 2 X+2 X 0 X 0 0 2 X+2 2 0 0 X X+2 0 2 2 X+2 X+2 X+2 2 X X X+2 0 X X 0 X+2 0 2 X 2 0 X+2 X+2 X+2 X+2 0 X+2 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+66x^76+114x^77+150x^78+198x^79+322x^80+346x^81+443x^82+474x^83+518x^84+592x^85+601x^86+780x^87+641x^88+538x^89+486x^90+448x^91+355x^92+258x^93+209x^94+154x^95+126x^96+102x^97+91x^98+54x^99+37x^100+28x^101+27x^102+4x^103+14x^104+6x^105+8x^106+1x^126 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 8.07 seconds.