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 1 2 1 1 1 1 1 2 1 0 0 2 1 1 0 1 2 2 2 1 0 1 1 1 1 1 1 1 1 1 1 0 2 0 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 2 1 0 2 3 0 3 2 3 2 1 0 0 3 1 1 0 1 2 2 0 3 1 2 0 0 3 0 1 0 3 1 1 1 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 2 1 0 2 1 0 1 1 3 2 0 1 1 1 0 2 2 1 1 0 1 0 0 2 2 3 3 2 3 3 1 0 2 1 1 3 0 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 0 1 3 2 0 0 0 2 0 1 1 3 0 2 0 2 2 1 2 2 3 3 1 1 2 3 3 2 1 0 1 3 2 0 1 1 1 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 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 0 0 2 0 2 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 0 0 2 2 0 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 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 2 0 0 2 0 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 2 0 0 2 2 0 0 0 0 2 0 2 2 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 2 0 0 2 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 0 0 2 0 2 2 0 2 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 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+54x^57+121x^58+196x^59+259x^60+294x^61+368x^62+306x^63+398x^64+390x^65+446x^66+518x^67+498x^68+540x^69+495x^70+508x^71+456x^72+470x^73+344x^74+372x^75+296x^76+242x^77+210x^78+126x^79+107x^80+46x^81+54x^82+18x^83+26x^84+12x^85+7x^86+4x^87+6x^88+3x^90+1x^92 The gray image is a code over GF(2) with n=138, k=13 and d=57. This code was found by Heurico 1.16 in 11.1 seconds.