The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 1 0 2 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 0 1 0 2 1 1 1 1 1 1 2 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 3 1 0 0 3 1 1 3 3 3 0 3 1 0 1 1 2 0 1 1 0 3 3 1 0 1 1 2 1 2 3 2 1 1 1 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 2 2 0 2 0 2 0 2 2 2 0 0 0 generates a code of length 52 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+86x^40+26x^42+267x^44+226x^46+576x^48+516x^50+738x^52+516x^54+540x^56+226x^58+252x^60+26x^62+71x^64+22x^68+6x^72+1x^76 The gray image is a code over GF(2) with n=104, k=12 and d=40. This code was found by Heurico 1.16 in 2.12 seconds.