The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 2 2 2 2 1 1 1 2 1 2 2 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 0 2 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 0 0 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 0 2 2 2 0 2 2 0 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 0 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 2 0 0 2 2 generates a code of length 38 over Z4 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+48x^26+112x^28+168x^30+260x^32+433x^34+651x^36+724x^38+656x^40+490x^42+262x^44+142x^46+89x^48+37x^50+15x^52+5x^54+2x^56+1x^70 The gray image is a code over GF(2) with n=76, k=12 and d=26. This code was found by Heurico 1.16 in 1.63 seconds.