The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 2 1 1 1 0 1 2 1 1 1 1 0 1 1 1 2 0 1 2 2 0 1 1 2 2 1 2 2 0 2 1 2 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 3 0 1 3 0 1 3 0 1 1 1 0 3 0 1 2 1 3 0 3 2 1 1 0 1 1 1 0 2 1 2 2 1 1 1 2 1 1 2 2 0 2 0 0 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 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 2 0 0 0 0 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 generates a code of length 58 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+227x^44+94x^46+735x^48+524x^50+1566x^52+1434x^54+2541x^56+2024x^58+2686x^60+1458x^62+1590x^64+524x^66+638x^68+86x^70+218x^72+35x^76+2x^80+1x^104 The gray image is a code over GF(2) with n=116, k=14 and d=44. This code was found by Heurico 1.16 in 96.1 seconds.