The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 1 2 1 0 1 2 2 0 2 1 1 1 1 1 0 1 1 0 2 1 1 1 2 0 1 2 2 2 2 0 2 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 3 1 1 2 2 1 1 2 2 1 1 1 3 3 1 2 3 0 2 1 1 1 2 3 0 0 2 1 2 1 1 2 1 1 3 2 2 1 1 1 0 0 1 0 0 0 1 1 1 1 1 0 3 2 1 0 3 0 1 3 2 2 2 2 2 3 1 2 1 1 3 0 2 2 3 1 1 3 0 3 1 1 1 1 3 2 1 2 3 3 0 0 0 1 0 1 1 0 1 0 0 1 0 3 2 3 1 0 3 2 3 2 3 2 0 1 3 1 0 3 1 0 2 3 3 2 2 1 2 0 2 0 0 1 2 0 2 1 2 0 0 0 0 0 1 1 0 1 1 0 1 3 1 2 1 1 2 3 2 2 2 3 2 0 1 1 3 3 0 2 1 2 0 3 2 3 3 3 1 0 0 2 1 3 3 2 0 2 3 1 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 2 2 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 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 2 0 0 2 0 2 0 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 0 2 0 2 0 generates a code of length 50 over Z4 who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+50x^37+158x^38+274x^39+403x^40+656x^41+925x^42+980x^43+1279x^44+1566x^45+1811x^46+2034x^47+2280x^48+2446x^49+2531x^50+2678x^51+2384x^52+2270x^53+1955x^54+1654x^55+1419x^56+956x^57+667x^58+480x^59+359x^60+226x^61+121x^62+86x^63+57x^64+22x^65+21x^66+6x^67+10x^68+3x^70 The gray image is a code over GF(2) with n=100, k=15 and d=37. This code was found by Heurico 1.16 in 92 seconds.