The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 1 2 1 1 0 1 0 1 1 0 2 1 1 1 1 0 1 0 1 0 1 1 2 1 1 2 1 1 1 1 1 1 0 0 2 1 1 1 0 2 1 2 0 1 1 2 1 0 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 1 3 2 3 1 3 0 1 2 1 3 0 1 1 2 2 3 1 1 3 1 3 1 0 0 1 3 1 1 1 0 2 2 1 1 1 1 1 0 2 3 1 1 2 1 2 0 0 1 1 1 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 2 0 2 2 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 2 0 0 0 2 0 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 0 2 2 0 0 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 2 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 2 0 2 0 0 0 0 generates a code of length 67 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+149x^56+116x^58+432x^60+308x^62+601x^64+456x^66+565x^68+424x^70+497x^72+196x^74+204x^76+36x^78+72x^80+29x^84+8x^88+2x^92 The gray image is a code over GF(2) with n=134, k=12 and d=56. This code was found by Heurico 1.16 in 3.41 seconds.