The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 2 0 1 1 0 0 0 2 0 2 0 2 1 0 1 2 1 1 1 0 1 1 2 2 0 2 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 3 0 1 2 2 0 3 1 2 0 1 1 1 3 0 1 2 1 0 1 1 0 3 0 1 1 2 2 2 1 3 3 1 1 1 1 2 1 1 1 1 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 1 0 0 0 1 0 1 1 0 2 2 2 3 1 1 3 2 2 2 1 2 1 2 1 2 1 0 1 1 2 1 2 1 2 0 2 0 3 0 3 3 1 3 0 2 3 2 0 2 2 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 1 0 0 1 0 1 0 1 2 1 1 0 3 0 3 2 2 0 0 3 0 3 0 3 3 3 3 1 0 2 2 3 2 0 2 2 3 3 1 2 3 1 1 1 0 1 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 1 0 1 1 0 0 0 1 1 1 2 2 0 3 3 2 2 3 3 2 1 3 0 2 3 3 2 3 0 0 2 0 1 0 2 1 2 3 3 1 3 3 3 1 2 2 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 0 0 0 0 1 1 1 0 1 1 2 0 1 3 0 2 3 2 0 2 2 1 1 0 1 0 1 1 0 0 0 0 2 3 2 1 2 1 1 0 2 2 3 0 3 2 1 2 2 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 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 2 2 2 2 2 0 2 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 0 0 2 0 2 2 2 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 78 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+46x^40+107x^42+273x^44+415x^46+695x^48+893x^50+1103x^52+1136x^54+1115x^56+862x^58+705x^60+435x^62+250x^64+273x^66+379x^68+762x^70+1267x^72+1847x^74+2422x^76+2666x^78+2556x^80+1940x^82+1222x^84+728x^86+390x^88+244x^90+264x^92+373x^94+722x^96+813x^98+1159x^100+1188x^102+1171x^104+882x^106+628x^108+435x^110+214x^112+105x^114+51x^116+22x^118+5x^120+2x^122+2x^124 The gray image is a code over GF(2) with n=156, k=15 and d=40. This code was found by Heurico 1.16 in 98.9 seconds.