The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 1 0 2 1 2 1 0 1 1 1 1 2 1 1 0 1 0 0 2 0 0 0 1 1 1 1 1 1 1 1 1 2 0 1 1 1 2 0 0 1 2 1 2 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 3 2 3 2 2 3 1 1 3 2 0 1 1 1 1 1 2 3 0 1 0 2 0 3 2 3 1 0 3 1 0 0 2 1 1 1 0 2 3 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 1 3 1 2 2 2 1 2 1 3 3 2 1 3 1 2 3 2 1 2 1 1 1 1 2 1 2 3 2 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 2 3 1 1 0 1 0 2 1 3 2 3 1 3 3 3 3 0 3 1 0 1 1 1 1 2 2 2 1 1 3 2 0 1 3 3 2 1 0 2 3 3 0 1 3 0 2 0 0 0 0 0 1 0 0 0 1 0 2 3 1 1 3 2 0 3 1 3 2 3 1 0 2 0 0 0 0 3 2 2 3 3 1 3 0 1 3 2 2 1 0 2 3 1 1 3 2 0 0 3 1 2 2 0 1 2 0 0 0 0 0 0 1 0 0 1 2 3 3 2 1 3 0 3 2 3 0 3 0 1 0 3 3 2 2 3 0 0 2 3 2 2 3 0 3 3 0 2 0 1 1 1 1 3 2 0 0 1 0 3 0 1 1 3 3 0 0 0 0 0 0 0 1 0 1 3 2 0 0 3 0 2 3 1 0 2 1 3 3 1 0 3 1 0 2 3 2 3 3 2 3 3 3 2 0 1 0 1 3 2 0 0 1 0 2 3 1 1 0 2 1 0 2 0 0 0 0 0 0 0 0 0 1 2 1 2 3 0 3 2 1 0 2 1 3 0 1 0 3 2 1 2 2 3 3 0 1 2 3 3 3 0 2 2 3 1 3 0 2 1 2 1 0 3 0 2 1 3 3 2 3 3 1 0 generates a code of length 59 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+95x^44+126x^45+410x^46+498x^47+870x^48+1022x^49+1413x^50+1714x^51+2161x^52+2504x^53+2975x^54+3404x^55+3869x^56+4460x^57+4388x^58+4906x^59+4693x^60+4670x^61+4019x^62+3832x^63+3083x^64+2588x^65+2214x^66+1594x^67+1353x^68+872x^69+689x^70+376x^71+309x^72+120x^73+128x^74+58x^75+72x^76+20x^77+19x^78+2x^79+4x^80+2x^81+1x^82+2x^84 The gray image is a code over GF(2) with n=118, k=16 and d=44. This code was found by Heurico 1.10 in 355 seconds.