The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 0 0 1 1 2 1 1 1 1 0 1 1 2 2 0 1 1 0 1 1 0 0 1 2 0 2 0 0 1 1 1 2 1 1 1 2 1 1 1 0 1 1 1 2 1 0 2 1 0 0 2 0 2 1 1 2 0 1 1 1 1 2 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 2 2 3 0 1 2 1 3 2 0 2 1 3 1 2 1 2 1 2 0 2 1 0 1 2 3 1 1 1 2 1 0 0 0 1 2 1 0 1 1 1 2 2 0 0 1 0 1 1 0 1 3 1 0 0 0 3 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 0 3 1 1 3 1 1 1 1 1 1 2 1 3 2 1 1 1 1 0 2 1 3 0 2 3 2 2 1 3 0 3 3 2 3 1 0 2 1 1 0 2 1 2 2 1 0 0 3 0 2 3 1 1 2 0 0 0 1 0 0 0 1 1 1 1 3 2 2 2 0 3 1 1 0 0 0 3 2 0 0 1 0 1 2 1 3 0 0 1 1 1 2 1 3 3 3 0 2 1 3 0 1 2 0 0 0 1 3 2 1 2 1 2 2 1 2 3 0 2 0 3 1 0 3 1 0 1 1 1 3 0 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 1 2 3 3 2 1 3 0 3 2 2 1 1 0 1 0 3 1 0 0 2 0 0 1 3 0 1 2 0 1 0 2 3 1 2 2 1 3 2 2 1 1 0 0 1 1 2 1 1 0 1 0 1 2 3 3 2 2 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 3 1 2 3 3 0 1 0 1 2 2 3 2 1 3 1 0 1 2 3 3 0 0 0 1 0 1 1 0 1 2 0 2 0 3 0 0 2 0 1 0 1 0 1 1 3 1 1 1 1 2 0 2 2 1 0 2 1 1 3 0 3 3 3 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 0 0 0 2 2 generates a code of length 77 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+227x^64+622x^66+926x^68+1242x^70+1598x^72+1684x^74+1924x^76+1842x^78+1793x^80+1578x^82+1255x^84+842x^86+504x^88+228x^90+86x^92+26x^94+5x^96+1x^132 The gray image is a code over GF(2) with n=154, k=14 and d=64. This code was found by Heurico 1.16 in 93.6 seconds.