The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 2 0 1 0 1 1 2 0 1 1 2 1 0 1 1 0 2 2 1 2 1 2 0 2 1 0 2 1 0 0 1 0 2 1 1 1 0 0 1 2 1 1 2 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 3 2 3 3 1 1 3 2 1 3 2 0 1 2 2 1 2 2 0 1 1 2 0 1 2 2 1 2 0 1 0 0 3 2 0 2 0 1 2 2 2 1 0 1 3 1 0 1 0 2 1 3 0 0 1 0 0 0 1 1 1 1 3 2 0 2 1 1 3 1 1 1 3 2 3 1 1 0 0 0 1 2 2 1 2 3 3 1 3 2 0 0 0 0 2 2 2 1 3 2 1 0 2 3 0 2 3 1 1 1 2 3 1 1 3 2 2 2 3 2 3 1 0 0 0 1 0 1 1 0 1 0 1 3 3 2 0 2 1 1 0 2 3 3 3 2 3 2 2 1 2 3 2 3 1 0 0 2 1 1 3 1 1 2 1 2 0 3 3 3 0 1 0 3 1 1 0 0 0 0 0 3 0 1 3 3 0 3 1 0 2 1 0 0 0 0 1 1 0 1 1 0 1 3 2 3 2 3 0 3 0 0 1 2 1 2 2 1 1 1 3 0 2 2 1 2 3 3 3 0 3 0 0 0 2 0 3 3 0 2 0 1 3 0 1 0 1 2 3 0 1 0 1 2 2 0 2 1 2 3 0 1 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 0 2 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 2 2 generates a code of length 70 over Z4 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+98x^57+166x^58+274x^59+348x^60+368x^61+569x^62+692x^63+710x^64+748x^65+832x^66+942x^67+948x^68+934x^69+1041x^70+1044x^71+1023x^72+828x^73+867x^74+902x^75+701x^76+644x^77+443x^78+404x^79+297x^80+196x^81+138x^82+90x^83+58x^84+22x^85+31x^86+4x^87+9x^88+2x^89+5x^90+1x^92+4x^94 The gray image is a code over GF(2) with n=140, k=14 and d=57. This code was found by Heurico 1.16 in 78.7 seconds.