The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 2 0 1 2 1 1 0 1 1 2 1 0 0 2 1 1 1 0 1 2 1 1 1 0 1 1 0 1 2 0 1 1 1 1 2 0 1 1 1 1 1 2 2 0 2 1 2 1 1 0 1 1 2 0 1 0 1 1 0 1 2 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 3 1 2 3 1 3 0 1 2 1 1 0 1 2 3 0 3 1 2 1 1 2 2 2 1 0 2 0 3 2 1 0 1 0 0 1 0 2 1 0 0 2 1 2 1 1 1 2 2 0 2 1 1 1 1 3 0 3 0 0 0 0 1 0 0 0 1 1 1 1 3 2 0 2 1 1 3 1 1 0 0 2 0 2 2 3 0 2 3 1 3 0 0 0 0 0 3 2 1 1 1 0 0 0 0 1 2 2 0 3 0 1 2 1 3 3 2 1 1 1 2 2 2 1 1 1 0 2 2 0 0 3 0 0 2 2 0 0 0 0 0 1 0 1 1 0 1 0 1 3 3 2 0 2 1 1 0 3 0 3 2 2 1 0 1 1 0 0 3 2 3 1 2 0 3 1 2 3 1 3 0 1 1 0 1 1 2 0 0 3 3 0 2 2 0 1 1 1 3 0 3 0 0 2 1 1 1 3 0 0 1 1 2 2 1 0 0 0 0 0 1 1 0 1 1 0 1 3 2 3 2 3 0 3 0 3 2 2 0 1 1 1 0 2 2 3 0 1 3 3 2 3 3 1 1 3 0 3 1 0 0 0 2 0 0 2 3 0 2 3 2 0 3 3 3 2 3 1 0 2 0 3 2 3 1 1 1 2 3 3 1 0 3 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 2 0 2 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 0 2 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 generates a code of length 78 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+85x^64+90x^65+193x^66+320x^67+444x^68+514x^69+528x^70+652x^71+736x^72+706x^73+812x^74+800x^75+863x^76+948x^77+875x^78+990x^79+892x^80+932x^81+874x^82+804x^83+679x^84+614x^85+560x^86+428x^87+288x^88+238x^89+204x^90+92x^91+93x^92+52x^93+35x^94+10x^95+14x^96+2x^97+11x^98+1x^100+2x^102+1x^106+1x^122 The gray image is a code over GF(2) with n=156, k=14 and d=64. This code was found by Heurico 1.16 in 89 seconds.