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 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 2 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 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 2 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 2 0 0 0 2 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 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 2 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 2 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 generates a code of length 75 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+53x^56+143x^58+231x^60+332x^62+362x^64+501x^66+577x^68+578x^70+1646x^72+3698x^74+3790x^76+1706x^78+629x^80+566x^82+470x^84+390x^86+293x^88+207x^90+115x^92+66x^94+23x^96+5x^98+1x^100+1x^144 The gray image is a code over GF(2) with n=150, k=14 and d=56. This code was found by Heurico 1.16 in 73.9 seconds.