The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 2 1 2 2 1 0 1 1 1 2 1 1 1 1 1 1 1 2 0 1 2 0 1 1 0 2 2 1 1 1 1 2 1 1 1 1 2 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 1 3 0 2 0 1 1 0 3 3 1 0 1 0 1 2 2 2 1 1 2 0 2 3 0 3 3 2 2 0 0 1 3 3 2 2 1 2 0 0 1 2 0 3 2 3 1 1 2 2 3 2 2 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 0 0 3 1 1 3 1 3 0 1 2 2 1 0 1 1 3 0 2 1 0 1 1 2 2 0 1 2 0 0 2 2 1 2 3 1 1 3 2 0 2 1 3 2 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 3 3 1 3 0 3 2 1 3 0 2 3 0 1 1 0 3 3 1 2 0 0 0 0 2 0 1 1 3 0 2 0 2 1 1 2 2 2 3 0 1 1 2 3 2 2 3 3 0 3 1 1 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 2 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 2 generates a code of length 68 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+50x^56+100x^57+189x^58+236x^59+302x^60+344x^61+346x^62+428x^63+452x^64+456x^65+481x^66+540x^67+492x^68+480x^69+483x^70+464x^71+441x^72+398x^73+361x^74+268x^75+230x^76+216x^77+157x^78+100x^79+63x^80+52x^81+23x^82+12x^83+16x^84+5x^86+1x^88+2x^89+2x^90+1x^94 The gray image is a code over GF(2) with n=136, k=13 and d=56. This code was found by Heurico 1.16 in 10.7 seconds.