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 2 2 2 2 2 1 2 1 2 1 1 1 2 1 1 2 1 1 1 2 1 0 1 1 1 1 2 1 2 1 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 2 0 2 2 0 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 0 0 0 0 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 2 0 0 2 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 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 0 2 2 0 0 0 2 0 2 2 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 0 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 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 0 2 2 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 0 2 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 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 0 2 2 0 0 0 0 2 0 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 2 0 0 2 0 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 2 0 0 2 2 0 0 2 0 0 2 2 0 2 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 0 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 2 0 2 0 2 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 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 2 0 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+76x^56+58x^58+10x^59+107x^60+40x^61+88x^62+90x^63+94x^64+160x^65+79x^66+212x^67+84x^68+208x^69+75x^70+164x^71+60x^72+96x^73+84x^74+34x^75+51x^76+8x^77+73x^78+2x^79+23x^80+31x^82+14x^84+19x^86+2x^88+4x^90+1x^110 The gray image is a code over GF(2) with n=136, k=11 and d=56. This code was found by Heurico 1.16 in 1.06 seconds.