The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 2 2 1 1 2 1 2 2 1 2 2 2 1 2 2 2 1 1 0 2 1 2 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 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 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 2 0 0 2 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 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 2 0 generates a code of length 53 over Z4 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+67x^36+144x^38+225x^40+16x^41+328x^42+62x^43+434x^44+260x^45+534x^46+552x^47+665x^48+924x^49+780x^50+1462x^51+864x^52+1640x^53+875x^54+1408x^55+804x^56+1032x^57+802x^58+522x^59+599x^60+212x^61+409x^62+88x^63+289x^64+12x^65+152x^66+2x^67+108x^68+53x^70+31x^72+18x^74+7x^76+1x^78+1x^80+1x^84 The gray image is a code over GF(2) with n=106, k=14 and d=36. This code was found by Heurico 1.16 in 38.8 seconds.