The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 2 2 2 2 2 0 1 1 0 2 2 2 1 0 2 2 0 2 2 1 1 0 1 1 2 1 0 0 0 1 2 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 2 2 0 0 1 3 3 1 1 1 1 0 2 0 3 0 1 1 0 3 2 1 0 1 1 1 3 3 2 1 0 1 0 0 1 1 3 2 3 0 2 3 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 1 1 1 0 0 1 0 0 1 1 1 1 3 2 0 2 1 0 1 1 0 0 3 2 3 0 1 2 0 3 2 2 3 1 0 1 3 2 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 3 3 0 1 3 2 2 3 1 1 1 3 2 3 1 1 2 2 0 3 2 2 2 0 3 0 1 3 3 0 3 3 1 0 2 1 1 0 3 3 3 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 2 1 3 3 2 0 2 3 2 0 1 2 0 0 3 3 1 1 2 2 1 3 1 2 1 2 0 2 1 2 3 0 1 3 1 0 1 0 0 3 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 0 0 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 2 0 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 generates a code of length 59 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+85x^40+219x^42+401x^44+756x^46+1215x^48+1772x^50+2371x^52+2882x^54+3276x^56+3359x^58+3416x^60+3358x^62+2873x^64+2367x^66+1756x^68+1206x^70+787x^72+382x^74+159x^76+70x^78+35x^80+13x^82+9x^84 The gray image is a code over GF(2) with n=118, k=15 and d=40. This code was found by Heurico 1.16 in 99.6 seconds.