The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 0 1 2 0 0 1 1 2 1 0 1 0 1 2 0 1 1 1 0 1 2 1 1 1 2 1 1 1 2 0 1 2 0 1 1 1 2 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 2 2 1 1 3 1 0 0 0 0 1 1 1 3 2 3 1 1 3 0 2 2 0 1 0 3 2 1 0 1 0 0 1 0 0 1 3 2 3 2 3 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 2 1 1 1 0 1 0 0 1 1 1 0 3 3 3 2 2 1 0 3 0 1 2 3 1 2 3 3 3 0 0 3 2 0 1 2 1 1 1 0 0 1 1 3 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 0 2 0 2 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 2 2 0 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 2 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 0 0 2 2 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 0 2 0 2 2 0 generates a code of length 59 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+33x^44+22x^45+106x^46+106x^47+251x^48+166x^49+365x^50+400x^51+569x^52+698x^53+748x^54+852x^55+864x^56+1156x^57+1130x^58+1304x^59+1127x^60+1204x^61+990x^62+988x^63+795x^64+638x^65+526x^66+368x^67+325x^68+186x^69+160x^70+68x^71+100x^72+24x^73+58x^74+8x^75+24x^76+2x^77+12x^78+2x^79+5x^80+1x^82+2x^84 The gray image is a code over GF(2) with n=118, k=14 and d=44. This code was found by Heurico 1.16 in 33.4 seconds.