The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 0 1 2 2 1 1 1 1 1 1 0 2 1 2 1 2 2 1 0 1 1 1 1 0 1 1 1 1 1 1 1 2 2 1 0 2 1 2 2 0 1 2 1 0 2 0 0 1 0 0 1 1 1 0 2 1 3 1 1 0 1 3 2 1 2 2 1 2 2 1 2 1 3 0 1 1 1 0 1 0 3 1 2 1 3 2 2 1 0 1 0 0 0 0 1 1 0 1 1 2 1 2 1 3 1 2 0 1 1 0 0 1 1 1 0 1 0 1 3 2 0 1 1 1 2 2 0 3 1 3 0 1 2 3 3 1 1 1 0 0 2 0 1 2 1 1 1 2 0 1 3 3 3 1 0 2 3 2 3 0 0 0 1 1 1 2 0 2 2 1 1 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 0 0 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 2 0 2 2 2 2 2 0 2 0 2 0 0 0 generates a code of length 63 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+46x^54+64x^55+108x^56+140x^57+139x^58+128x^59+146x^60+126x^61+115x^62+158x^63+101x^64+134x^65+108x^66+86x^67+88x^68+82x^69+72x^70+58x^71+49x^72+22x^73+23x^74+18x^75+14x^76+8x^77+7x^78+4x^80+2x^82+1x^88 The gray image is a code over GF(2) with n=126, k=11 and d=54. This code was found by Heurico 1.16 in 0.614 seconds.