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 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 0 2 2 0 1 2 0 0 2 1 0 1 1 1 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 2 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 2 2 2 0 2 0 0 0 2 0 0 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 generates a code of length 78 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+165x^64+6x^66+302x^68+88x^70+467x^72+238x^74+636x^76+352x^78+643x^80+258x^82+396x^84+72x^86+264x^88+10x^90+124x^92+54x^96+14x^100+5x^104+1x^112 The gray image is a code over GF(2) with n=156, k=12 and d=64. This code was found by Heurico 1.16 in 5.61 seconds.