The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 1 0 2 1 1 1 1 2 1 0 1 2 0 1 0 2 0 0 1 1 1 2 1 1 1 0 0 1 1 0 1 1 1 1 0 0 2 1 1 2 0 2 1 2 1 1 0 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 0 1 1 0 3 2 2 1 1 1 3 2 0 0 1 1 1 1 3 3 1 2 1 3 0 0 1 2 1 2 2 2 0 2 0 1 2 1 0 1 2 1 1 1 1 3 0 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 0 0 3 2 3 3 3 1 3 3 0 0 1 2 1 2 0 0 3 1 3 1 2 0 3 1 0 0 1 2 2 3 1 1 1 0 0 1 2 0 2 2 3 3 2 0 0 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 0 1 2 0 2 1 0 1 2 3 1 1 2 2 1 1 1 1 2 1 3 0 0 3 3 2 1 0 1 1 2 1 0 0 2 1 2 0 3 1 3 1 3 0 3 1 0 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 0 0 0 2 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 0 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 2 2 0 0 0 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 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 2 2 2 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+36x^54+74x^55+170x^56+218x^57+356x^58+416x^59+513x^60+618x^61+703x^62+746x^63+837x^64+876x^65+933x^66+1074x^67+1073x^68+1122x^69+1026x^70+958x^71+842x^72+866x^73+687x^74+644x^75+478x^76+318x^77+280x^78+158x^79+146x^80+72x^81+51x^82+26x^83+31x^84+6x^85+18x^86+4x^88+5x^90+1x^94+1x^108 The gray image is a code over GF(2) with n=136, k=14 and d=54. This code was found by Heurico 1.16 in 74 seconds.