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 0 0 0 2 2 2 2 X 1 X 2 2 X X X 2 X 1 0 X 1 X 1 X X 1 1 X X 1 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 2 X X X 2 X 0 X 2 X+2 X X+2 X+2 X+2 X+2 X 2 0 X+2 X+2 2 X X+2 X 0 2 X 0 X 2 X X 0 2 X 0 0 X+2 X+2 X 2 X+2 X X 0 X X 0 2 0 2 2 X+2 X 2 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 2 0 X+2 X X X+2 X+2 2 0 X+2 0 2 X+2 X 0 2 2 X 0 2 X X+2 X+2 X X 0 2 X 2 2 0 2 2 X+2 X 2 X 0 2 X+2 2 X+2 X+2 X+2 X+2 X+2 X+2 X+2 0 X X+2 X+2 0 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 X 0 2 0 2 X X X 2 X 0 X+2 0 X X+2 0 2 X X 2 X+2 0 2 X 0 0 X 2 X 2 2 2 0 0 X 0 2 2 2 X+2 X X 2 2 2 X 2 X X X 2 0 2 X+2 X 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 X X+2 2 2 X 0 X+2 2 X+2 X+2 X X+2 X 0 X+2 X+2 0 0 2 X 2 0 X+2 2 2 X 2 0 X+2 X X X 2 2 X 2 X+2 X+2 0 X+2 2 2 X+2 0 X+2 2 2 X+2 X+2 X+2 0 X+2 0 X+2 0 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 2 2 0 X 0 X 2 2 X+2 X+2 X+2 X+2 0 2 2 2 2 0 0 X+2 X+2 X+2 X+2 X X 2 X 2 X X 0 2 X+2 0 X+2 X 2 X X X+2 2 X X+2 X 0 X+2 X X X+2 X X+2 X 0 X+2 X+2 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 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 2 0 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+78x^64+114x^65+238x^66+314x^67+416x^68+448x^69+541x^70+718x^71+904x^72+1148x^73+1238x^74+1452x^75+1365x^76+1360x^77+1311x^78+1034x^79+886x^80+752x^81+547x^82+432x^83+319x^84+214x^85+182x^86+112x^87+93x^88+58x^89+36x^90+34x^91+32x^92+2x^93+2x^94+2x^96+1x^106 The gray image is a code over GF(2) with n=304, k=14 and d=128. This code was found by Heurico 1.16 in 25.4 seconds.