The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 1 0 2 1 1 1 1 1 0 1 2 1 0 1 2 0 2 1 1 1 1 1 1 1 1 1 1 1 0 2 1 1 2 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 3 1 0 0 3 1 1 3 3 3 0 3 1 0 1 2 1 3 1 1 1 3 0 1 1 2 2 0 2 1 3 1 1 1 0 3 1 1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 2 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 0 2 0 0 0 2 0 2 0 2 2 0 2 0 0 0 0 2 2 0 0 0 generates a code of length 57 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+90x^44+29x^46+30x^47+166x^48+84x^49+142x^50+150x^51+222x^52+272x^53+192x^54+332x^55+197x^56+312x^57+211x^58+332x^59+171x^60+272x^61+221x^62+150x^63+127x^64+84x^65+124x^66+30x^67+44x^68+78x^70+5x^72+19x^74+1x^76+8x^78 The gray image is a code over GF(2) with n=114, k=12 and d=44. This code was found by Heurico 1.16 in 2.47 seconds.