The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 0 0 1 2 1 0 1 0 1 1 0 1 2 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 2 1 0 0 1 0 2 1 1 0 1 0 0 0 1 1 1 0 0 1 3 1 0 1 1 2 2 1 1 0 3 2 2 3 1 1 2 1 2 2 2 1 1 1 0 3 1 1 0 1 2 1 2 0 1 3 1 2 0 2 1 2 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 2 1 0 1 3 1 1 0 3 2 1 2 2 2 2 0 1 0 3 0 1 3 0 1 3 3 2 3 2 1 2 2 1 1 1 2 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 2 2 3 0 2 1 1 1 0 1 3 0 1 1 0 2 2 2 1 2 3 2 3 1 3 0 1 0 3 1 1 1 3 3 3 1 2 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 0 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 0 2 0 2 2 2 2 2 0 0 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 generates a code of length 54 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+12x^39+65x^40+86x^41+250x^42+244x^43+498x^44+566x^45+894x^46+982x^47+1226x^48+1532x^49+1840x^50+2206x^51+2213x^52+2548x^53+2337x^54+2508x^55+2267x^56+2226x^57+1903x^58+1664x^59+1358x^60+990x^61+738x^62+494x^63+475x^64+216x^65+182x^66+78x^67+73x^68+24x^69+45x^70+4x^71+14x^72+4x^73+1x^74+2x^76+2x^78 The gray image is a code over GF(2) with n=108, k=15 and d=39. This code was found by Heurico 1.16 in 96.1 seconds.