The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 2 2 2 1 1 1 1 1 1 1 1 2 1 0 1 0 2 2 1 1 0 2 0 2 2 1 1 2 2 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 2 2 2 2 2 2 2 0 1 0 1 0 1 2 1 1 0 1 1 1 0 2 1 3 2 1 1 1 3 1 1 2 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 2 0 0 2 3 3 2 2 3 1 2 2 1 3 0 0 0 1 0 0 2 3 3 0 1 3 3 1 1 1 3 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 3 2 3 1 1 1 1 3 3 3 3 0 0 2 2 1 0 3 0 3 2 1 3 1 3 3 2 1 2 0 2 2 0 3 3 3 0 2 3 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 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 2 0 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 0 2 0 2 2 0 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 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 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 generates a code of length 64 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+71x^40+134x^42+320x^44+529x^46+740x^48+1125x^50+1433x^52+1634x^54+1889x^56+2053x^58+2389x^60+2698x^62+2747x^64+2684x^66+2426x^68+2059x^70+1794x^72+1635x^74+1459x^76+1167x^78+820x^80+489x^82+239x^84+141x^86+48x^88+24x^90+6x^92+12x^94+2x^96 The gray image is a code over GF(2) with n=128, k=15 and d=40. This code was found by Heurico 1.16 in 97 seconds.