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 1 1 1 1 1 1 2 2 2 1 1 2 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 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 0 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 2 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 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 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 0 2 2 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 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 2 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 0 2 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 2 0 2 0 0 2 0 2 0 0 2 0 2 0 2 2 0 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 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 2 0 0 0 0 0 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 2 2 0 2 2 2 2 0 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 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 2 0 0 0 2 2 2 2 0 2 2 2 0 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 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 2 2 2 0 2 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 2 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 0 0 0 2 0 0 0 2 0 2 0 2 0 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 0 0 0 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 2 generates a code of length 63 over Z4 who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+169x^48+423x^52+609x^56+128x^58+1323x^60+1280x^62+1934x^64+640x^66+815x^68+547x^72+249x^76+68x^80+5x^84+1x^116 The gray image is a code over GF(2) with n=126, k=13 and d=48. This code was found by Heurico 1.16 in 28.7 seconds.