The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 1 0 2 1 1 1 1 1 1 2 1 0 1 1 1 0 0 1 1 2 1 2 1 1 1 0 1 1 1 1 1 1 1 0 0 2 1 2 2 2 2 1 1 2 1 2 1 0 1 1 2 1 1 0 0 1 1 1 1 0 1 2 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 3 3 3 1 3 1 3 2 0 0 2 1 0 1 1 2 0 1 0 2 2 2 3 1 0 0 1 2 3 1 0 2 3 2 1 1 0 1 3 1 0 1 0 1 3 1 1 2 3 0 1 1 3 3 1 0 0 2 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 1 1 1 1 1 1 1 3 3 3 3 1 1 1 2 3 1 1 1 2 1 0 0 1 1 2 1 3 3 0 1 1 2 2 2 1 3 1 2 1 1 2 1 1 2 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 2 3 1 1 3 0 2 2 3 1 2 0 0 0 0 3 0 1 2 0 3 1 1 1 0 0 3 1 3 3 0 2 0 2 1 3 2 3 0 1 0 1 2 3 3 1 3 2 3 3 2 0 0 0 1 1 0 1 1 1 3 1 2 2 3 0 0 0 0 0 0 0 1 0 0 0 1 0 2 3 1 3 1 1 2 0 1 3 0 3 1 1 0 2 3 3 3 1 2 1 0 0 2 0 0 1 3 2 1 0 0 1 1 0 2 1 3 0 3 3 3 2 2 2 0 1 0 3 0 1 2 0 3 2 2 0 1 2 2 0 2 0 2 2 1 0 0 0 0 0 0 0 1 0 0 1 2 3 3 2 3 1 0 3 2 0 3 3 1 1 2 2 2 1 0 2 3 1 0 2 2 3 0 1 3 3 1 2 3 0 0 3 1 3 3 2 1 2 0 3 2 3 1 2 1 1 1 3 2 0 1 3 0 2 3 2 3 2 0 0 1 1 2 0 0 0 0 0 0 0 0 0 1 0 1 3 2 0 0 2 1 2 0 1 3 1 3 3 0 3 1 2 0 2 1 3 3 0 0 0 3 1 3 2 2 0 1 3 2 1 1 2 2 2 2 0 2 3 3 3 2 2 2 3 2 1 2 2 3 2 2 0 1 1 2 0 2 3 1 0 2 2 2 0 0 0 0 0 0 0 0 0 1 2 1 2 3 0 0 1 1 3 3 2 3 2 3 0 0 2 1 0 1 1 1 0 0 3 3 3 0 2 1 3 2 1 1 3 3 2 1 0 3 2 1 3 0 2 1 1 2 2 2 1 3 2 2 3 0 1 0 2 3 0 2 1 3 2 3 2 1 0 0 0 generates a code of length 79 over Z4 who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+26x^61+72x^62+190x^63+344x^64+514x^65+657x^66+896x^67+1087x^68+1310x^69+1636x^70+1952x^71+2236x^72+2538x^73+2913x^74+3152x^75+3454x^76+3686x^77+3929x^78+3838x^79+3811x^80+3856x^81+3643x^82+3498x^83+3081x^84+2742x^85+2417x^86+1920x^87+1500x^88+1242x^89+925x^90+688x^91+584x^92+380x^93+264x^94+212x^95+138x^96+70x^97+44x^98+38x^99+18x^100+16x^101+9x^102+2x^104+4x^105+2x^106+1x^110 The gray image is a code over GF(2) with n=158, k=16 and d=61. This code was found by Heurico 1.10 in 593 seconds.