The generator matrix 1 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 2 1 1 1 1 0 0 2 2 1 2 0 0 0 1 2 1 1 1 2 1 1 1 2 2 1 0 2 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 2 2 1 1 0 2 1 2 2 2 2 1 1 0 1 0 0 0 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 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 1 3 3 1 1 3 2 2 1 1 2 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 3 3 1 1 1 2 3 1 1 1 0 3 1 3 2 0 2 1 2 2 1 3 0 3 2 2 2 0 1 1 0 2 0 1 3 3 0 3 3 2 1 0 1 2 2 1 3 0 0 1 2 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 2 0 2 3 0 3 1 1 2 0 1 1 2 2 3 1 0 0 1 0 2 0 1 1 2 2 0 1 2 1 2 2 0 1 2 0 2 3 3 0 3 3 3 0 2 2 1 3 2 2 3 2 2 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 2 3 1 3 0 3 1 0 2 1 3 1 2 3 1 1 2 3 3 1 1 1 0 0 1 0 1 1 0 1 3 1 0 1 3 0 2 0 2 3 0 0 2 0 1 2 3 0 2 0 2 2 0 1 2 3 2 0 3 0 0 0 0 0 0 0 0 1 0 0 1 2 1 3 0 1 3 0 3 2 3 1 2 2 1 3 1 3 2 2 1 2 2 0 1 2 3 1 1 1 2 1 3 1 3 0 3 1 0 3 2 3 1 2 1 3 3 1 0 3 3 3 1 0 0 3 2 1 2 1 3 2 0 0 0 0 0 0 0 0 1 0 1 3 0 3 2 2 1 3 3 0 3 0 1 0 3 2 0 2 2 1 0 0 2 1 0 3 3 1 1 1 1 3 2 2 3 3 2 2 2 2 3 3 0 3 3 2 1 1 2 0 3 2 3 3 1 0 3 0 1 0 0 3 2 0 0 0 0 0 0 0 0 1 2 2 0 0 0 1 1 3 3 1 2 1 1 2 3 0 2 2 1 2 1 1 3 1 2 2 1 1 2 0 3 3 0 2 0 2 2 0 1 1 2 3 1 0 1 3 1 2 2 3 3 2 1 2 1 0 0 3 1 1 2 0 2 0 generates a code of length 72 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+134x^56+108x^57+417x^58+502x^59+786x^60+948x^61+1342x^62+1516x^63+1864x^64+2294x^65+2478x^66+3006x^67+3358x^68+3672x^69+3748x^70+4170x^71+3951x^72+4338x^73+4128x^74+3972x^75+3753x^76+3124x^77+2572x^78+2216x^79+1861x^80+1452x^81+1152x^82+810x^83+664x^84+392x^85+360x^86+162x^87+111x^88+46x^89+47x^90+26x^91+23x^92+8x^93+10x^94+6x^96+2x^97+2x^98+4x^99 The gray image is a code over GF(2) with n=144, k=16 and d=56. This code was found by Heurico 1.10 in 508 seconds.