The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 0 2 1 1 0 0 1 1 2 2 1 1 0 1 2 1 1 0 1 0 2 1 1 1 0 2 1 0 1 0 0 1 0 1 2 1 1 0 0 0 2 1 1 1 1 1 2 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 1 3 1 1 2 0 3 1 0 3 1 1 1 3 2 0 0 1 0 0 2 3 1 1 1 2 3 1 2 0 1 2 0 1 1 1 2 1 2 2 2 1 1 1 3 3 2 2 1 1 0 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 3 0 1 0 1 0 2 3 1 3 3 3 2 2 2 1 0 3 0 3 1 3 3 2 2 1 1 2 1 2 0 1 1 2 1 3 1 3 1 1 1 1 1 0 0 3 2 3 0 3 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 0 2 2 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 2 2 0 0 2 0 0 2 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 2 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 2 2 0 0 0 2 0 2 2 2 0 0 2 0 0 generates a code of length 67 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+45x^54+30x^55+139x^56+148x^57+228x^58+260x^59+319x^60+348x^61+396x^62+472x^63+446x^64+526x^65+462x^66+508x^67+493x^68+536x^69+517x^70+526x^71+395x^72+352x^73+269x^74+204x^75+179x^76+124x^77+90x^78+44x^79+57x^80+14x^81+32x^82+4x^83+15x^84+8x^86+2x^88+1x^90+2x^92 The gray image is a code over GF(2) with n=134, k=13 and d=54. This code was found by Heurico 1.16 in 11 seconds.