The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 0 2 0 0 0 0 0 2 0 0 1 2 1 2 1 2 1 1 0 1 1 1 0 0 0 1 0 2 1 2 1 2 0 2 2 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 2 2 1 1 0 0 0 0 2 2 1 3 0 2 1 2 1 0 2 0 3 2 1 2 1 1 1 3 0 1 1 1 0 1 1 0 2 2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 2 0 0 2 0 2 0 3 1 0 3 3 3 1 1 3 1 0 3 2 0 2 1 2 1 3 0 3 1 0 3 2 3 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 2 1 1 1 2 2 3 1 3 3 0 2 1 2 0 0 2 3 1 2 2 2 1 0 3 2 3 0 2 2 2 3 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 2 1 3 1 0 1 1 1 3 2 2 3 1 0 2 2 2 3 0 1 2 3 0 1 1 1 2 2 0 2 2 2 3 0 0 0 1 1 0 0 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 2 0 2 0 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 64 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+61x^42+175x^44+324x^46+538x^48+852x^50+1236x^52+1607x^54+1895x^56+2311x^58+2800x^60+3008x^62+3126x^64+3049x^66+2773x^68+2338x^70+1911x^72+1630x^74+1190x^76+836x^78+553x^80+299x^82+159x^84+63x^86+22x^88+6x^90+3x^92+2x^96 The gray image is a code over GF(2) with n=128, k=15 and d=42. This code was found by Heurico 1.16 in 99.5 seconds.