The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 2 1 2 1 1 1 2 1 1 1 2 0 1 2 1 2 1 2 1 1 2 1 1 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 2 0 0 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 0 0 2 0 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 2 2 2 0 0 0 0 0 generates a code of length 66 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+79x^56+14x^58+129x^60+48x^62+200x^64+124x^66+181x^68+64x^70+91x^72+6x^74+46x^76+27x^80+11x^84+2x^88+1x^108 The gray image is a code over GF(2) with n=132, k=10 and d=56. This code was found by Heurico 1.16 in 0.288 seconds.