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 X X 2 1 1 0 0 X X 1 1 0 1 1 0 0 1 1 1 1 X 1 0 1 1 2 X 2 1 1 1 1 1 0 1 1 1 1 1 2 2 1 1 1 X 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X 0 2 X 0 2 X 2 X X X X 2 0 0 X X+2 2 2 X X 2 X 2 X+2 2 2 X+2 2 X 2 X+2 X 0 X X+2 X+2 X 2 2 X 2 X+2 X 0 2 X 2 X X 2 2 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 2 X 0 X+2 0 2 X X X 0 2 X X X+2 X+2 X 2 X 2 2 X 0 X+2 X X 2 0 2 0 X 0 X+2 X+2 X X+2 0 0 X+2 X+2 X+2 2 X+2 2 X X+2 0 X X+2 X X+2 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 0 2 2 0 2 0 0 2 2 0 0 0 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 2 2 2 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+35x^64+52x^65+118x^66+102x^67+191x^68+202x^69+290x^70+352x^71+448x^72+622x^73+637x^74+720x^75+756x^76+764x^77+633x^78+620x^79+401x^80+292x^81+249x^82+194x^83+135x^84+102x^85+80x^86+52x^87+54x^88+10x^89+33x^90+8x^91+18x^92+4x^93+5x^94+5x^96+2x^98+4x^100+1x^114 The gray image is a code over GF(2) with n=304, k=13 and d=128. This code was found by Heurico 1.16 in 7.44 seconds.