The generator matrix 1 0 0 1 1 1 0 1 1 1 0 1 2 0 1 1 1 1 2 0 0 0 1 1 2 2 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 3 1 0 0 2 1 3 1 0 1 0 3 2 0 1 3 1 0 3 1 0 2 1 1 2 0 0 0 1 1 1 0 1 0 1 1 2 0 3 1 0 1 1 0 3 1 0 1 0 3 1 1 0 0 2 0 2 1 0 3 2 1 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 0 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 generates a code of length 37 over Z4 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+39x^26+36x^27+146x^28+142x^29+285x^30+308x^31+333x^32+468x^33+559x^34+674x^35+650x^36+812x^37+711x^38+696x^39+626x^40+504x^41+325x^42+296x^43+238x^44+118x^45+107x^46+36x^47+46x^48+4x^49+21x^50+2x^51+6x^52+1x^54+2x^56 The gray image is a code over GF(2) with n=74, k=13 and d=26. This code was found by Heurico 1.16 in 3.97 seconds.