The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 2 1 1 1 1 0 1 1 1 0 1 1 1 0 0 2 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 2 1 1 0 1 1 2 0 1 2 1 2 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 0 3 1 0 3 2 3 1 0 0 3 1 3 3 1 1 1 1 0 0 3 0 1 0 0 1 2 1 3 3 1 2 3 2 1 3 0 1 0 3 1 0 3 1 1 1 0 3 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 2 0 2 2 0 2 0 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 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 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 2 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 2 0 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 2 0 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 2 2 0 2 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 2 0 0 2 2 0 2 generates a code of length 67 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+208x^52+40x^54+580x^56+416x^58+1342x^60+1186x^62+2343x^64+1950x^66+2588x^68+1596x^70+1867x^72+796x^74+889x^76+154x^78+307x^80+6x^82+92x^84+21x^88+1x^96+1x^108 The gray image is a code over GF(2) with n=134, k=14 and d=52. This code was found by Heurico 1.16 in 51.3 seconds.