The generator matrix 1 0 0 1 1 1 0 1 1 1 2 1 0 2 1 2 0 1 1 0 2 1 1 0 2 1 0 1 1 1 1 1 1 1 1 0 0 2 2 1 1 1 1 2 0 1 1 1 1 1 1 1 1 0 0 1 1 2 1 1 0 1 2 2 1 1 2 1 0 1 0 0 1 1 1 0 2 3 1 3 1 2 0 1 0 3 1 1 1 0 0 1 2 3 2 0 2 1 1 3 2 1 1 1 1 0 1 0 1 3 2 1 1 3 1 0 1 3 0 2 2 1 2 1 2 1 0 1 0 3 1 1 2 3 1 0 0 0 1 1 1 0 1 0 3 3 1 0 0 1 2 3 1 2 3 0 1 1 0 0 1 2 1 2 3 3 1 1 3 2 2 1 0 1 0 3 3 2 3 3 3 0 1 0 1 2 0 3 2 3 1 1 0 2 0 0 1 2 2 0 2 3 3 2 0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 0 0 2 0 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+207x^60+162x^62+372x^64+240x^66+307x^68+164x^70+203x^72+116x^74+117x^76+70x^78+59x^80+12x^82+9x^84+4x^86+5x^88 The gray image is a code over GF(2) with n=136, k=11 and d=60. This code was found by Heurico 1.16 in 13.4 seconds.