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 0 2 X 1 X 1 2 X 0 0 1 X 2 0 1 0 1 1 X 1 1 0 1 1 0 X 1 1 0 1 0 1 1 X 1 1 0 0 2 X 0 1 0 1 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 X X+2 2 2 2 X+2 X+2 2 0 X+2 0 2 0 0 X X 0 2 X+2 0 X+2 X+2 X X 2 X 2 X+2 X 2 0 X 0 X+2 2 2 2 2 0 X X X 2 X+2 0 0 2 X+2 X X X+2 2 0 X X 0 2 0 X X 0 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X X X+2 2 X 0 0 0 X+2 X 2 X 2 X 2 0 2 2 X 2 2 0 X+2 0 X+2 0 0 0 X X+2 X 2 X+2 X 0 0 2 2 X X+2 X+2 X X+2 X+2 X+2 X 0 2 2 0 2 X+2 X+2 0 0 2 X+2 X X+2 X+2 0 X+2 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 X 0 X 2 X X X 0 0 2 X+2 0 2 X+2 X 2 X 0 2 X X X+2 0 0 0 X 0 0 2 X X 2 2 2 2 2 0 0 0 X+2 X+2 2 X+2 X X 0 X+2 2 0 X 0 X X+2 X X 0 2 2 X+2 X+2 X 2 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X+2 X 0 2 2 X+2 2 X+2 2 X+2 X+2 X X 0 X+2 2 2 X X X X+2 X+2 0 X 2 0 0 X+2 0 2 0 X 0 0 X X+2 2 2 0 2 X+2 X+2 X 2 X+2 0 X+2 X 0 X+2 0 0 0 X+2 X 0 X+2 X X 0 0 X 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 2 0 2 0 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 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+57x^76+110x^77+155x^78+228x^79+302x^80+378x^81+399x^82+478x^83+572x^84+610x^85+673x^86+658x^87+577x^88+544x^89+507x^90+464x^91+349x^92+252x^93+205x^94+146x^95+135x^96+116x^97+75x^98+56x^99+46x^100+28x^101+31x^102+16x^103+9x^104+10x^105+2x^106+2x^107+1x^122 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 8.25 seconds.