The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 2 0 0 1 1 2 2 2 0 1 1 2 2 2 0 1 0 1 0 0 1 2 1 1 0 1 1 1 0 0 1 0 2 2 0 1 0 1 1 2 2 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 1 2 2 0 3 0 2 1 2 1 3 1 1 0 2 1 0 2 1 2 2 1 0 1 0 1 1 1 2 2 3 1 1 1 3 2 1 1 2 1 1 2 1 1 0 1 2 2 1 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 3 3 1 3 1 3 1 0 2 1 0 3 1 1 3 2 1 3 1 2 0 3 3 2 0 2 2 2 2 3 0 0 1 0 1 3 1 2 1 3 1 0 3 0 1 2 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 3 2 0 0 3 1 2 2 1 2 3 0 3 0 2 1 3 3 1 3 0 1 0 3 2 1 3 1 2 3 1 0 0 3 0 0 3 2 2 1 1 2 3 3 0 1 2 2 2 2 3 2 1 0 2 3 3 0 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 3 0 3 0 2 0 1 0 2 3 1 0 1 3 2 3 3 0 2 2 2 2 3 1 0 3 1 2 1 3 2 1 2 2 0 3 1 2 3 1 1 3 3 2 1 0 1 2 2 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 3 3 3 3 1 3 0 3 1 0 3 0 2 0 0 2 2 3 3 3 1 1 1 2 2 3 2 3 3 2 3 0 3 0 0 0 0 3 2 2 3 0 2 0 0 3 2 0 1 3 0 0 2 2 3 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 generates a code of length 69 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+73x^56+164x^57+285x^58+334x^59+450x^60+558x^61+580x^62+710x^63+789x^64+832x^65+887x^66+1016x^67+988x^68+996x^69+1051x^70+980x^71+961x^72+884x^73+812x^74+694x^75+574x^76+502x^77+390x^78+326x^79+216x^80+152x^81+79x^82+36x^83+36x^84+8x^85+11x^86+6x^88+1x^90+1x^96+1x^112 The gray image is a code over GF(2) with n=138, k=14 and d=56. This code was found by Heurico 1.16 in 79 seconds.