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 1 1 2 1 2 2 1 0 1 1 1 0 1 1 2 1 1 0 2 1 1 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 0 1 2 2 1 1 1 0 2 0 1 1 2 2 1 1 0 1 2 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 3 2 1 3 1 2 1 0 0 1 2 1 1 3 1 0 3 1 2 3 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 0 2 2 0 2 0 2 2 2 0 2 0 0 0 2 0 0 0 2 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 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 2 0 2 0 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 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 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 2 0 0 0 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 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 0 2 0 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 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 2 0 2 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 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 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 2 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 2 2 2 0 0 2 2 0 2 0 0 2 2 2 2 2 2 2 2 0 2 2 generates a code of length 54 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+109x^40+138x^42+532x^44+668x^46+1505x^48+1596x^50+2417x^52+2294x^54+2597x^56+1730x^58+1423x^60+616x^62+494x^64+120x^66+103x^68+6x^70+30x^72+5x^76 The gray image is a code over GF(2) with n=108, k=14 and d=40. This code was found by Heurico 1.16 in 27.6 seconds.