The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 1 0 2 1 2 1 1 0 1 1 2 1 1 1 1 0 1 1 2 1 0 0 1 1 0 0 1 2 1 2 1 0 2 1 1 1 0 1 2 2 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 3 1 1 1 2 1 2 1 0 1 1 1 2 1 3 2 0 2 0 1 0 0 2 3 1 1 2 0 3 2 2 1 0 2 2 0 2 3 1 1 1 0 1 2 3 0 3 3 1 0 0 0 3 1 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 1 3 3 1 1 3 1 1 1 3 1 3 3 3 1 1 1 2 1 1 2 0 1 2 3 1 3 2 1 0 3 3 3 1 0 1 2 3 2 1 3 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 2 3 1 1 0 1 0 0 2 3 2 2 1 1 0 1 1 2 0 2 3 0 3 3 1 1 1 2 0 0 1 0 3 3 0 1 0 2 1 1 0 1 1 3 1 0 3 0 2 3 3 2 3 2 2 3 3 1 1 2 1 0 0 0 0 0 0 1 0 0 0 1 0 2 3 1 1 3 2 0 3 2 2 3 1 3 3 2 2 3 0 1 2 0 1 2 1 2 0 2 3 2 1 2 0 1 2 0 3 0 1 0 2 0 3 0 0 3 0 2 3 3 3 2 2 2 1 3 0 1 2 1 1 2 1 2 0 0 0 0 0 0 1 0 0 1 2 3 3 2 1 3 0 3 2 3 1 0 0 0 3 0 0 3 0 3 1 1 0 2 1 1 3 3 0 0 1 2 1 1 0 1 3 2 2 2 0 2 0 1 1 3 2 0 2 2 0 0 3 0 0 0 0 2 0 2 1 0 1 0 0 0 0 0 0 0 0 1 0 1 3 2 0 0 3 0 2 3 1 3 2 2 0 3 3 0 1 1 2 0 1 1 1 0 1 1 2 2 0 1 2 3 3 2 2 2 3 1 3 0 2 1 1 1 1 2 2 1 1 3 1 3 0 2 3 0 3 3 0 0 3 3 1 1 0 0 0 0 0 0 0 0 1 2 1 2 3 0 3 2 1 0 2 1 3 1 1 3 1 2 1 0 3 0 0 0 3 1 1 1 2 0 2 0 1 2 1 2 1 3 2 0 3 0 3 1 2 0 1 3 2 3 2 0 2 1 3 2 0 3 0 3 0 1 0 0 1 2 0 generates a code of length 74 over Z4 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+38x^57+113x^58+202x^59+353x^60+568x^61+799x^62+978x^63+1295x^64+1604x^65+1888x^66+2230x^67+2547x^68+2974x^69+3217x^70+3640x^71+3922x^72+3960x^73+4117x^74+4166x^75+4047x^76+3892x^77+3671x^78+3152x^79+2638x^80+2234x^81+1874x^82+1450x^83+1117x^84+864x^85+676x^86+448x^87+275x^88+206x^89+136x^90+112x^91+56x^92+36x^93+20x^94+6x^95+4x^96+6x^97+2x^101+1x^102+1x^104 The gray image is a code over GF(2) with n=148, k=16 and d=57. This code was found by Heurico 1.10 in 248 seconds.