The generator matrix 1 0 0 0 0 1 1 1 2 1 1 1 1 0 2 0 1 0 2 0 1 1 2 1 1 2 0 1 1 1 2 0 1 1 0 0 2 1 1 2 1 0 1 2 2 1 2 1 2 1 0 2 1 1 1 2 1 2 1 2 1 1 1 0 1 0 0 0 2 2 2 0 2 0 0 2 2 2 0 3 1 1 1 1 1 1 1 3 1 1 3 3 0 0 2 3 2 1 1 0 0 3 0 3 2 0 1 2 3 1 3 1 1 1 0 0 2 1 1 0 1 3 2 3 3 0 0 0 1 0 0 0 0 2 0 3 3 3 1 1 1 1 3 2 1 3 0 1 2 3 1 3 1 0 2 2 2 1 0 3 2 2 1 1 2 1 0 2 1 0 1 3 3 2 2 1 2 1 2 2 3 3 1 0 3 1 1 2 0 0 0 0 1 0 0 3 3 1 1 0 2 1 2 3 1 3 1 3 0 3 2 2 3 2 0 3 3 0 1 1 1 1 1 3 1 2 1 1 3 2 1 3 1 1 0 1 2 3 3 0 1 1 1 2 2 2 0 3 0 1 2 1 0 0 0 0 1 1 3 2 1 2 2 1 1 1 3 2 0 1 1 3 2 3 1 1 2 2 2 1 1 1 3 3 3 0 0 3 1 3 2 0 0 2 1 2 2 3 3 3 3 3 2 2 2 0 2 1 1 1 2 2 3 1 1 generates a code of length 63 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+38x^56+78x^57+90x^58+108x^59+106x^60+78x^61+61x^62+72x^63+45x^64+52x^65+48x^66+36x^67+41x^68+34x^69+31x^70+12x^71+20x^72+22x^73+24x^74+8x^75+3x^76+4x^77+2x^78+4x^79+2x^80+4x^81 The gray image is a code over GF(2) with n=126, k=10 and d=56. This code was found by Heurico 1.16 in 0.161 seconds.