The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 1 2 0 2 0 0 1 1 1 1 1 2 1 0 1 1 2 1 1 0 2 1 0 1 1 2 0 1 1 0 0 1 1 2 1 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 2 0 1 0 1 0 1 1 0 0 1 1 1 1 2 3 1 0 2 1 0 1 0 1 2 1 0 1 3 1 3 1 0 1 1 2 3 0 1 0 2 2 0 1 1 3 1 1 1 1 3 1 2 0 0 1 2 1 2 3 1 1 2 3 3 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 3 0 1 1 1 2 1 0 0 1 1 2 0 3 1 0 3 3 2 0 0 1 1 1 1 0 0 3 2 3 0 1 3 1 1 1 0 1 1 2 1 2 3 2 2 0 0 3 1 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 2 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 0 2 0 0 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 2 0 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 0 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+14x^53+88x^54+66x^55+202x^56+186x^57+366x^58+342x^59+504x^60+488x^61+635x^62+792x^63+871x^64+1066x^65+964x^66+1148x^67+980x^68+1148x^69+982x^70+998x^71+834x^72+814x^73+653x^74+574x^75+509x^76+328x^77+271x^78+156x^79+145x^80+46x^81+110x^82+16x^83+38x^84+6x^85+24x^86+4x^87+10x^88+3x^90+1x^92+1x^96 The gray image is a code over GF(2) with n=136, k=14 and d=53. This code was found by Heurico 1.16 in 67.8 seconds.