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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 2 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 2 2 2 0 0 2 0 0 2 2 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 0 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 2 0 0 2 2 2 0 0 2 0 2 generates a code of length 58 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+206x^44+497x^48+608x^52+256x^54+1761x^56+1536x^58+1748x^60+256x^62+660x^64+452x^68+183x^72+25x^76+2x^80+1x^108 The gray image is a code over GF(2) with n=116, k=13 and d=44. This code was found by Heurico 1.16 in 25.9 seconds.