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 2 1 1 1 0 1 1 0 1 2 1 0 1 1 1 1 1 1 0 2 2 0 1 1 0 1 1 2 1 0 0 1 1 1 0 2 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 0 1 1 3 0 1 0 1 3 0 3 1 3 0 1 0 1 2 1 3 0 0 3 3 2 1 1 0 1 2 0 2 2 1 1 3 1 2 0 0 3 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 2 0 2 2 2 0 generates a code of length 61 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+60x^44+49x^46+4x^47+276x^48+54x^49+235x^50+140x^51+472x^52+310x^53+480x^54+636x^55+750x^56+982x^57+822x^58+1268x^59+909x^60+1398x^61+980x^62+1276x^63+845x^64+978x^65+773x^66+628x^67+489x^68+338x^69+482x^70+132x^71+234x^72+34x^73+195x^74+12x^75+51x^76+2x^77+51x^78+6x^80+20x^82+3x^84+6x^86+3x^90 The gray image is a code over GF(2) with n=122, k=14 and d=44. This code was found by Heurico 1.16 in 37.5 seconds.