The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 2 1 1 1 2 0 0 2 0 1 1 0 0 2 1 2 1 0 1 1 0 2 2 1 1 2 1 0 1 0 0 1 2 2 2 0 2 1 1 1 1 1 0 1 2 0 1 1 1 2 1 0 1 0 1 0 0 0 0 0 0 2 1 3 1 1 3 1 2 1 2 0 2 1 0 0 2 1 2 3 1 1 1 3 0 1 0 1 2 3 0 3 0 2 1 1 3 1 1 0 1 2 1 2 3 2 1 2 2 1 2 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 0 2 3 2 3 0 0 3 1 2 1 3 1 3 1 3 2 0 1 1 2 3 3 0 1 3 2 3 1 0 1 1 3 3 1 2 1 1 1 1 3 1 3 2 1 2 1 2 1 1 0 0 3 2 0 0 0 0 0 1 0 1 0 2 1 3 0 3 1 0 2 3 1 1 1 3 0 1 2 0 0 0 3 1 1 0 2 0 3 1 0 2 0 3 3 2 1 1 3 2 2 0 2 2 3 1 3 3 0 3 2 1 1 0 1 1 1 2 2 0 0 0 0 0 0 1 1 3 3 1 1 3 3 2 1 2 0 3 3 1 2 1 2 0 1 2 1 0 2 0 1 0 1 3 1 3 0 3 0 1 0 3 1 2 2 0 0 3 2 0 1 1 0 1 0 1 1 1 2 3 0 2 0 1 3 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 0 2 0 2 0 0 0 generates a code of length 65 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+41x^56+80x^57+107x^58+136x^59+150x^60+154x^61+132x^62+140x^63+110x^64+98x^65+143x^66+108x^67+105x^68+100x^69+65x^70+76x^71+60x^72+60x^73+42x^74+44x^75+29x^76+18x^77+23x^78+8x^79+16x^80+2x^81 The gray image is a code over GF(2) with n=130, k=11 and d=56. This code was found by Heurico 1.10 in 0.204 seconds.