The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 0 2 1 1 0 0 0 1 1 2 1 1 1 1 0 1 1 1 1 1 0 1 0 1 2 0 1 1 0 2 2 0 0 1 0 0 1 1 0 2 1 1 2 1 0 1 2 1 1 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 1 3 1 1 2 0 3 1 0 2 1 0 1 0 3 1 2 2 3 0 1 1 1 1 0 1 1 1 2 2 1 1 0 1 1 0 2 1 0 3 1 1 1 1 0 0 3 2 0 1 2 2 0 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 3 0 1 0 1 0 2 3 1 1 1 0 3 0 2 0 1 1 1 3 1 0 3 2 2 0 1 3 1 1 0 2 1 0 0 1 0 3 1 2 1 3 3 3 0 1 2 1 2 0 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 2 0 0 2 2 2 0 2 2 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 2 0 2 0 2 0 0 0 2 2 2 2 2 2 2 0 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+75x^56+30x^57+104x^58+154x^59+269x^60+270x^61+350x^62+332x^63+405x^64+450x^65+443x^66+516x^67+473x^68+550x^69+432x^70+562x^71+371x^72+466x^73+394x^74+370x^75+316x^76+234x^77+221x^78+96x^79+120x^80+46x^81+63x^82+16x^83+13x^84+2x^85+34x^86+2x^87+4x^88+4x^90+1x^92+3x^94 The gray image is a code over GF(2) with n=138, k=13 and d=56. This code was found by Heurico 1.16 in 11.5 seconds.