The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 0 0 1 0 0 1 0 0 0 1 2 2 1 1 1 2 1 1 0 1 1 1 1 0 2 1 2 2 0 1 2 1 1 0 2 1 2 0 2 1 2 0 2 2 1 0 1 2 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 2 2 2 0 0 2 0 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 0 1 1 3 1 1 1 1 1 1 1 2 3 2 0 1 0 0 1 0 0 0 0 0 0 0 0 2 2 0 1 3 1 1 1 1 1 1 1 2 0 1 1 1 0 1 2 2 3 3 3 2 3 3 0 3 0 2 3 2 0 0 1 2 3 1 3 3 3 3 3 0 2 2 2 0 2 1 1 1 0 0 0 1 0 0 0 0 0 0 0 3 1 1 3 1 0 1 2 1 2 0 2 1 1 3 1 1 1 2 1 1 3 3 0 2 2 2 1 1 0 3 2 0 2 3 0 1 1 3 3 3 3 0 1 2 2 0 0 1 2 1 1 0 0 0 0 0 1 0 0 2 1 3 1 1 1 2 0 0 0 3 3 1 3 3 1 3 3 3 0 0 2 2 2 0 3 1 2 1 0 0 1 1 0 0 0 1 1 2 2 3 3 0 1 1 3 1 3 3 1 0 3 2 3 0 3 0 0 0 0 0 0 1 0 3 1 2 3 0 1 1 2 3 3 0 1 1 1 0 2 1 0 3 1 0 1 1 2 3 0 0 1 3 1 2 3 0 3 3 2 2 3 0 0 3 1 0 2 1 1 1 0 3 2 1 2 0 1 2 1 1 0 0 0 0 0 0 1 1 2 3 3 0 1 1 2 3 3 0 1 3 2 2 1 2 3 2 0 3 0 2 3 1 1 2 2 1 3 2 2 3 1 3 3 1 0 0 2 3 0 2 0 1 0 3 3 2 2 2 1 1 0 2 2 3 generates a code of length 64 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+215x^52+708x^54+1069x^56+1426x^58+1683x^60+1988x^62+2122x^64+2060x^66+1890x^68+1368x^70+951x^72+558x^74+234x^76+80x^78+25x^80+4x^82+1x^84+1x^108 The gray image is a code over GF(2) with n=128, k=14 and d=52. This code was found by Heurico 1.16 in 69.8 seconds.