The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 2 0 1 2 1 2 2 0 0 1 2 2 0 0 2 1 1 1 2 1 1 1 0 1 1 1 1 2 1 0 2 2 0 0 1 1 0 1 0 0 0 0 1 1 1 1 2 2 2 2 2 1 1 1 3 2 1 2 0 3 0 1 1 2 3 0 1 1 1 1 2 3 2 0 0 1 2 1 0 0 1 3 1 1 0 0 1 2 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 3 0 1 2 3 1 1 1 2 3 2 0 1 3 2 2 3 1 0 0 1 0 2 1 1 2 2 0 1 2 3 0 2 3 2 2 2 1 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 2 3 2 3 2 1 3 2 3 1 0 1 1 0 2 0 1 1 2 1 3 1 3 0 3 0 2 0 0 1 3 1 2 1 3 2 2 2 1 2 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 3 2 0 1 3 1 0 0 1 1 1 0 3 2 3 1 0 1 3 2 3 2 2 1 2 3 3 1 0 3 0 3 0 1 2 1 0 3 0 3 3 1 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 2 0 0 0 generates a code of length 55 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+77x^40+279x^42+828x^44+1421x^46+2092x^48+3006x^50+3979x^52+4577x^54+4650x^56+4119x^58+3258x^60+2183x^62+1179x^64+669x^66+284x^68+107x^70+33x^72+22x^74+2x^76+1x^82+1x^84 The gray image is a code over GF(2) with n=110, k=15 and d=40. This code was found by Heurico 1.16 in 99.5 seconds.