The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 0 2 1 1 2 0 2 1 0 2 1 1 2 0 0 1 1 1 1 1 0 1 1 2 1 0 0 1 1 2 0 1 0 2 1 1 1 2 0 2 2 0 1 2 1 1 0 2 0 1 1 0 1 2 0 0 1 0 1 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 1 3 1 1 1 1 1 3 1 1 3 1 1 1 1 3 1 1 1 1 0 3 1 2 1 2 0 1 1 3 1 3 2 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 2 1 1 1 1 1 2 0 2 0 2 0 1 2 1 1 3 1 2 2 3 1 0 1 3 3 2 0 2 2 1 0 0 2 0 2 2 0 1 2 0 3 3 3 2 1 1 0 0 0 0 0 1 0 0 0 0 0 1 2 1 2 1 2 1 0 2 3 2 2 0 1 1 1 3 1 2 3 0 3 3 2 2 3 3 1 1 2 2 0 1 1 3 3 3 3 2 1 2 0 2 1 1 2 2 3 1 0 0 3 1 3 1 0 0 1 3 0 0 0 0 0 1 0 0 0 1 0 1 2 1 0 0 3 1 2 0 0 1 2 1 3 3 3 2 2 1 1 0 1 0 0 2 2 0 3 1 0 1 2 3 3 2 0 0 1 3 0 3 1 3 1 3 1 3 2 3 0 3 3 0 2 0 1 0 3 0 0 0 0 0 0 1 0 0 1 2 0 3 1 1 3 0 1 1 1 2 0 3 1 2 3 2 2 1 0 0 2 3 0 3 3 0 2 0 2 0 2 2 1 3 3 3 3 1 0 2 2 1 2 2 1 3 1 2 0 1 2 1 0 1 2 2 0 3 0 0 0 0 0 0 0 1 0 1 3 3 2 2 1 1 1 3 1 2 3 1 0 3 0 2 3 3 1 2 2 3 2 2 2 1 1 2 1 2 3 1 0 0 0 1 0 0 0 0 3 0 3 0 0 1 0 0 0 3 1 0 3 0 0 2 0 1 3 0 0 0 0 0 0 0 0 1 2 2 1 3 3 1 3 1 3 2 2 0 3 3 0 0 3 0 3 3 3 2 1 0 1 2 1 1 1 3 0 0 2 0 0 3 3 0 1 3 3 2 1 2 2 0 1 3 1 3 2 3 2 0 0 0 0 1 3 0 3 generates a code of length 69 over Z4 who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+38x^53+149x^54+310x^55+501x^56+672x^57+912x^58+1158x^59+1495x^60+1784x^61+2266x^62+2618x^63+2910x^64+3294x^65+3659x^66+4126x^67+4396x^68+4494x^69+4227x^70+4124x^71+4009x^72+3694x^73+3221x^74+2758x^75+2258x^76+1756x^77+1357x^78+1034x^79+749x^80+538x^81+382x^82+226x^83+164x^84+104x^85+72x^86+26x^87+22x^88+10x^89+9x^90+4x^91+7x^92+1x^94+1x^98 The gray image is a code over GF(2) with n=138, k=16 and d=53. This code was found by Heurico 1.10 in 473 seconds.