The generator matrix 1 0 0 1 1 1 0 1 1 1 1 2 2 0 1 1 2 1 0 1 2 1 1 1 0 1 1 2 2 1 2 1 0 0 1 1 2 1 0 0 1 1 1 1 2 1 1 2 1 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 2 0 1 1 1 2 1 1 1 1 1 2 1 1 0 1 0 0 1 1 1 0 2 1 3 1 1 0 3 3 1 2 1 2 2 3 0 1 2 2 1 1 1 1 2 0 1 1 1 0 2 2 2 1 3 2 2 3 1 0 1 2 1 3 0 1 2 1 3 1 0 1 3 3 3 3 2 1 1 1 2 3 2 2 2 1 3 1 3 1 0 0 0 0 1 1 1 0 1 0 1 3 2 2 1 1 1 2 3 2 2 1 1 2 1 3 1 2 2 1 3 3 1 2 2 0 3 3 1 0 1 1 0 1 1 1 3 3 2 1 3 3 2 2 2 2 0 3 2 1 2 0 2 2 1 3 1 0 2 3 0 1 3 2 3 3 1 0 3 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 0 0 2 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 generates a code of length 78 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+44x^68+42x^69+74x^70+120x^71+128x^72+132x^73+151x^74+136x^75+118x^76+132x^77+98x^78+100x^79+95x^80+102x^81+94x^82+90x^83+73x^84+80x^85+44x^86+42x^87+35x^88+14x^89+31x^90+22x^91+12x^92+10x^93+14x^94+2x^95+4x^96+4x^98+1x^100+2x^102+1x^104 The gray image is a code over GF(2) with n=156, k=11 and d=68. This code was found by Heurico 1.16 in 0.826 seconds.