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 2 2 2 2 2 1 1 2 2 1 2 1 1 1 1 1 0 0 2 2 1 1 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 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 2 0 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 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 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 0 0 2 0 0 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 2 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 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 2 2 0 2 0 0 0 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 2 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 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 0 2 2 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 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 2 0 0 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 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 0 2 0 2 0 2 2 0 2 2 0 0 2 0 2 0 0 2 2 2 2 2 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 0 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 2 generates a code of length 57 over Z4 who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+60x^46+112x^48+16x^49+108x^50+64x^51+82x^52+128x^53+80x^54+192x^55+102x^56+224x^57+73x^58+192x^59+64x^60+128x^61+84x^62+64x^63+91x^64+16x^65+68x^66+42x^68+32x^70+14x^72+6x^74+4x^76+1x^90 The gray image is a code over GF(2) with n=114, k=11 and d=46. This code was found by Heurico 1.16 in 26.4 seconds.