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 2 1 2 2 2 1 2 2 2 2 2 2 1 2 0 2 2 1 1 1 2 2 0 0 1 2 1 2 1 1 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 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 2 2 0 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 0 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 2 0 0 2 2 0 2 0 0 0 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 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 0 2 2 2 2 2 2 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 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 2 0 2 0 0 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 2 0 2 0 2 2 0 0 2 0 2 0 0 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 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 0 2 2 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 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 0 0 0 2 2 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 2 0 2 0 0 2 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 2 0 2 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 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 2 2 2 2 0 2 0 2 0 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 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 0 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 2 2 2 2 2 2 0 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 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 2 0 0 0 0 generates a code of length 61 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+56x^44+86x^46+4x^47+166x^48+22x^49+208x^50+58x^51+242x^52+160x^53+280x^54+300x^55+289x^56+470x^57+345x^58+674x^59+348x^60+720x^61+388x^62+652x^63+344x^64+514x^65+353x^66+286x^67+293x^68+144x^69+224x^70+68x^71+195x^72+18x^73+107x^74+6x^75+76x^76+46x^78+29x^80+11x^82+8x^84+1x^100 The gray image is a code over GF(2) with n=122, k=13 and d=44. This code was found by Heurico 1.16 in 27.3 seconds.