The generator matrix 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 1 1 1 1 2 2 2 2 2 1 2 2 1 1 2 2 1 2 0 1 1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 0 2 0 2 0 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 0 2 2 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 0 generates a code of length 50 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+128x^40+22x^42+285x^44+112x^46+376x^48+236x^50+386x^52+128x^54+200x^56+14x^58+110x^60+47x^64+2x^68+1x^76 The gray image is a code over GF(2) with n=100, k=11 and d=40. This code was found by Heurico 1.16 in 0.689 seconds.