The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 0 1 1 1 1 2 1 1 2 1 1 1 2 0 2 1 1 1 2 1 0 1 1 1 0 1 0 1 1 0 2 2 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 2 0 1 0 0 0 1 1 1 2 0 3 1 1 0 1 1 1 2 1 1 2 3 2 1 0 2 1 0 1 2 1 0 1 3 1 0 1 1 1 0 2 3 1 1 2 1 3 1 1 1 0 3 2 2 3 3 0 1 2 1 0 0 2 2 0 2 1 0 0 1 0 1 1 0 1 0 3 3 2 0 1 2 1 0 1 3 2 1 3 1 1 2 3 1 0 3 0 2 2 3 3 1 0 0 2 2 0 3 3 3 3 1 2 3 2 3 1 1 3 0 0 0 1 1 0 3 2 1 3 0 1 1 2 1 0 0 0 1 1 0 1 1 1 0 1 2 0 1 1 0 2 0 1 1 0 1 3 2 2 0 2 2 2 3 2 1 1 0 1 3 1 3 1 2 2 0 3 1 3 2 1 3 3 1 2 1 1 3 2 0 2 1 3 2 3 1 3 0 1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 0 0 2 0 0 2 2 0 0 0 2 0 2 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 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 2 2 0 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 0 generates a code of length 67 over Z4 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+70x^57+139x^58+164x^59+213x^60+228x^61+240x^62+224x^63+232x^64+234x^65+251x^66+242x^67+240x^68+228x^69+213x^70+240x^71+182x^72+182x^73+121x^74+120x^75+122x^76+72x^77+50x^78+32x^79+21x^80+10x^81+9x^82+2x^83+8x^84+1x^86+4x^88+1x^92 The gray image is a code over GF(2) with n=134, k=12 and d=57. This code was found by Heurico 1.16 in 95.8 seconds.