The generator matrix 1 0 0 0 1 1 1 2 1 1 2 0 1 1 2 1 0 1 1 1 0 1 1 2 1 1 0 1 1 1 2 1 0 2 0 2 1 1 1 1 0 2 2 2 2 1 1 0 2 0 1 1 0 0 2 1 0 1 1 0 2 0 0 2 1 1 1 0 1 1 2 2 0 1 0 0 0 0 0 2 1 3 1 1 1 1 1 2 0 3 1 2 1 0 2 0 1 2 1 1 0 3 1 2 1 0 1 2 3 2 1 3 1 1 1 1 1 2 1 2 0 1 1 3 0 1 0 0 2 0 3 0 2 1 1 1 1 2 3 0 3 0 2 1 0 0 1 0 0 1 3 1 3 1 2 1 2 0 1 2 1 1 1 3 3 3 0 1 2 0 3 2 1 3 3 3 2 2 1 1 1 2 3 0 0 0 0 0 1 2 3 1 1 2 2 0 2 2 1 1 0 2 3 1 1 0 0 0 3 1 0 1 2 0 1 1 0 0 0 1 1 1 0 3 2 3 3 3 3 2 2 2 2 3 0 3 3 2 2 3 1 1 0 2 0 0 0 3 3 1 3 1 3 0 0 0 2 1 3 0 2 3 0 0 3 2 1 3 1 2 1 3 1 0 3 3 0 2 0 2 1 3 3 3 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 0 2 0 0 2 0 generates a code of length 72 over Z4 who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+28x^65+101x^66+106x^67+71x^68+112x^69+101x^70+72x^71+57x^72+54x^73+43x^74+32x^75+35x^76+26x^77+43x^78+22x^79+16x^80+20x^81+20x^82+20x^83+10x^84+12x^85+4x^86+2x^87+2x^88+2x^89+8x^90+2x^91+2x^93 The gray image is a code over GF(2) with n=144, k=10 and d=65. This code was found by Heurico 1.16 in 0.223 seconds.