The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 2 1 2 2 1 0 1 1 1 2 1 1 1 1 1 1 2 1 0 1 2 0 1 1 0 2 1 1 2 1 1 1 1 2 0 1 1 1 0 2 1 2 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 1 3 0 2 0 1 1 0 3 3 1 0 1 0 1 2 2 1 2 1 3 2 2 3 0 0 2 3 2 0 0 1 3 3 2 2 3 2 1 2 2 1 1 1 1 3 0 2 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 0 0 3 1 1 3 1 3 1 0 2 3 2 0 1 1 1 2 0 1 0 1 1 2 2 0 1 3 0 0 3 0 0 0 3 2 1 3 2 2 1 2 1 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 3 3 1 3 0 3 2 1 3 0 2 3 0 1 1 0 3 1 3 2 0 0 0 0 2 0 1 1 3 0 2 0 2 1 1 2 3 2 1 3 0 3 3 3 3 1 2 0 1 0 2 2 0 0 0 0 2 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 2 2 0 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 2 0 0 2 0 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 0 0 0 2 0 0 0 2 0 2 2 generates a code of length 67 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+215x^56+464x^58+753x^60+790x^62+957x^64+900x^66+1069x^68+884x^70+821x^72+624x^74+417x^76+166x^78+100x^80+12x^82+16x^84+2x^88+1x^100 The gray image is a code over GF(2) with n=134, k=13 and d=56. This code was found by Heurico 1.16 in 10.6 seconds.