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 1 0 0 0 1 0 1 1 0 0 1 1 1 0 2 0 0 1 1 2 0 1 2 2 1 1 1 2 1 0 1 1 2 1 1 0 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 1 0 1 0 1 2 0 1 0 1 0 2 1 1 1 1 0 3 1 0 2 0 2 1 2 3 1 3 0 0 3 1 3 0 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 0 1 0 1 3 2 3 1 1 0 0 0 3 2 0 2 0 3 2 1 3 1 1 3 2 0 0 0 1 1 3 1 0 0 2 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 2 2 2 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 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 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 0 2 0 0 2 0 0 2 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 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 0 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 0 2 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 2 0 0 2 2 2 2 2 0 0 2 2 0 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 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 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 0 0 2 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 2 0 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 2 0 0 2 2 2 2 2 2 2 0 0 2 0 0 2 2 0 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 generates a code of length 65 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+58x^52+36x^53+118x^54+116x^55+188x^56+264x^57+295x^58+388x^59+445x^60+408x^61+499x^62+552x^63+448x^64+602x^65+512x^66+498x^67+487x^68+468x^69+387x^70+356x^71+277x^72+236x^73+188x^74+120x^75+107x^76+32x^77+33x^78+16x^79+27x^80+2x^81+12x^82+2x^83+7x^84+3x^86+3x^88+1x^90 The gray image is a code over GF(2) with n=130, k=13 and d=52. This code was found by Heurico 1.16 in 10.5 seconds.