The generator matrix 1 0 0 0 0 1 1 1 2 0 1 1 1 0 0 1 1 2 2 1 1 2 0 1 0 2 0 0 0 0 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 1 2 2 1 0 1 2 1 1 2 2 1 2 2 1 0 1 1 1 2 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 1 1 3 1 0 2 1 0 1 1 1 0 2 0 1 2 2 2 1 3 2 1 2 2 0 3 3 1 2 1 0 3 1 1 2 1 2 1 1 3 1 2 3 0 2 2 1 2 0 0 0 1 0 0 0 1 1 1 1 3 2 0 0 1 3 1 1 0 3 2 1 2 2 2 2 3 0 1 2 1 0 1 1 1 3 0 0 2 1 1 2 2 2 1 3 3 0 1 2 0 1 2 0 2 2 1 0 0 0 1 1 3 3 1 1 0 0 0 1 0 1 1 0 3 1 2 3 0 3 0 3 2 2 0 1 1 3 2 0 1 2 3 0 2 1 3 2 0 0 0 2 0 2 3 1 1 0 3 3 1 1 0 2 2 1 1 0 0 3 0 3 1 3 0 2 3 3 0 0 2 2 0 0 0 0 1 1 0 1 1 2 2 0 3 1 0 2 1 1 2 3 2 3 1 1 2 0 1 3 1 3 3 2 2 1 3 3 1 1 1 2 3 1 1 0 3 2 3 1 3 1 1 3 0 2 3 0 0 0 1 2 3 1 2 0 3 3 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 generates a code of length 66 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+78x^56+130x^57+173x^58+164x^59+213x^60+260x^61+227x^62+282x^63+263x^64+232x^65+232x^66+252x^67+227x^68+212x^69+198x^70+200x^71+151x^72+142x^73+136x^74+96x^75+76x^76+40x^77+50x^78+30x^79+15x^80+8x^81+7x^82+1x^86 The gray image is a code over GF(2) with n=132, k=12 and d=56. This code was found by Heurico 1.16 in 2.33 seconds.