The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 2 0 1 1 0 1 1 0 0 1 1 2 0 2 1 1 1 2 2 1 0 0 2 2 1 2 1 1 0 1 0 1 0 0 1 0 1 2 0 1 0 2 1 1 1 1 1 1 0 2 1 0 2 0 1 1 0 1 1 1 0 2 1 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 2 2 1 1 3 1 3 3 1 2 1 0 2 1 1 1 1 1 1 0 2 1 2 1 2 1 0 2 3 2 0 0 1 1 1 0 1 3 2 1 2 2 2 1 1 2 1 2 2 1 1 2 2 1 2 0 2 0 2 0 1 0 2 1 1 2 2 3 0 0 1 0 0 0 0 0 0 0 1 3 1 0 1 1 1 2 1 2 1 2 3 2 0 1 2 2 3 3 1 3 1 0 3 2 1 2 0 0 1 2 1 3 1 2 3 0 1 1 3 3 2 0 3 1 1 2 1 2 1 1 3 1 0 1 3 0 0 0 3 3 1 0 3 1 2 0 0 0 0 0 1 0 0 0 1 1 1 3 1 0 2 0 0 1 1 1 1 3 2 2 0 3 2 0 3 1 1 3 2 0 2 2 1 3 1 1 2 1 3 2 0 3 0 1 2 3 3 0 2 1 1 2 1 2 3 1 3 3 2 1 3 0 1 0 2 1 1 3 1 3 1 0 3 3 3 2 0 0 0 0 1 0 1 1 0 3 2 1 1 3 1 2 2 2 0 0 2 3 0 0 3 0 2 1 1 1 1 1 3 1 3 1 3 0 2 3 1 3 1 1 1 3 1 3 2 1 2 0 0 1 3 3 1 0 2 1 3 3 0 0 2 3 2 2 2 3 2 3 2 3 2 0 2 2 1 0 0 0 0 0 1 1 2 3 1 0 1 1 1 3 2 2 0 1 3 1 2 1 1 0 1 1 3 0 1 0 2 2 0 2 3 0 0 3 2 0 0 3 3 0 0 2 2 2 1 0 2 3 0 2 1 1 3 1 1 1 3 1 2 2 2 0 1 0 0 2 3 0 2 1 0 0 3 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 0 2 0 0 2 0 2 0 2 2 generates a code of length 79 over Z4 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+80x^67+148x^68+216x^69+286x^70+306x^71+351x^72+396x^73+431x^74+432x^75+443x^76+464x^77+456x^78+416x^79+392x^80+432x^81+437x^82+398x^83+397x^84+340x^85+283x^86+286x^87+244x^88+160x^89+131x^90+112x^91+64x^92+36x^93+19x^94+16x^95+7x^96+4x^97+4x^98+2x^99+1x^106+1x^112 The gray image is a code over GF(2) with n=158, k=13 and d=67. This code was found by Heurico 1.16 in 12.6 seconds.