The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 2 0 0 2 1 1 2 2 1 1 1 2 2 2 1 0 1 2 2 1 0 1 2 1 2 1 0 1 2 0 0 1 2 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 1 2 2 0 3 0 2 1 2 1 2 0 1 0 0 1 3 0 1 2 2 1 1 0 1 2 2 2 3 0 1 1 2 1 1 1 1 0 3 1 2 1 1 3 3 1 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 3 3 1 3 1 3 1 0 2 1 3 2 1 1 0 2 2 2 0 2 3 1 3 3 1 1 0 2 1 3 3 2 1 0 1 1 0 3 1 1 0 2 1 1 0 0 0 2 0 0 0 1 0 0 0 1 1 1 1 3 2 0 0 3 1 2 2 1 2 3 0 3 0 2 1 3 0 3 0 3 0 2 2 1 1 2 1 3 2 0 1 1 3 1 2 3 0 0 0 0 1 1 3 1 2 1 2 3 1 1 1 2 2 1 0 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 3 0 3 0 2 0 1 0 2 3 1 0 1 1 1 0 1 3 2 3 2 2 1 0 1 3 0 1 1 3 0 3 0 3 2 0 2 3 0 0 1 1 3 2 1 1 0 3 0 2 2 2 0 0 0 0 0 1 1 0 1 1 2 2 0 3 3 3 3 1 3 0 3 1 0 3 0 2 0 0 1 1 1 0 3 2 1 2 0 3 1 1 1 2 2 3 2 3 3 0 0 1 3 0 1 3 0 3 2 1 1 0 3 0 3 1 3 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 2 2 2 2 2 2 0 0 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 generates a code of length 67 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+43x^54+148x^55+253x^56+368x^57+416x^58+544x^59+642x^60+720x^61+797x^62+862x^63+928x^64+988x^65+973x^66+906x^67+1034x^68+1022x^69+1016x^70+848x^71+814x^72+804x^73+609x^74+508x^75+352x^76+288x^77+207x^78+142x^79+67x^80+32x^81+33x^82+10x^83+4x^84+2x^85+1x^86+1x^88+1x^122 The gray image is a code over GF(2) with n=134, k=14 and d=54. This code was found by Heurico 1.16 in 74.7 seconds.