The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 0 0 1 2 0 1 1 1 1 1 0 0 1 0 0 1 1 2 2 1 2 0 1 1 1 1 2 2 2 0 2 1 0 1 1 1 1 2 2 2 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 3 0 2 0 1 1 1 2 0 2 1 0 0 1 1 1 2 1 1 3 1 2 3 0 2 0 0 1 1 1 1 1 0 2 1 1 1 0 3 1 1 0 2 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 0 1 1 0 1 1 1 0 1 3 1 0 2 3 2 1 3 1 0 2 1 2 1 1 0 2 1 0 0 2 0 1 1 0 2 1 3 3 1 3 0 1 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 2 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 0 2 2 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 2 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 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 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 generates a code of length 58 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+92x^44+38x^45+131x^46+132x^47+342x^48+324x^49+463x^50+504x^51+696x^52+816x^53+767x^54+1018x^55+1003x^56+1282x^57+1122x^58+1194x^59+1058x^60+1062x^61+906x^62+888x^63+624x^64+456x^65+488x^66+316x^67+228x^68+100x^69+173x^70+42x^71+45x^72+18x^73+38x^74+2x^75+6x^76+6x^78+1x^80+1x^82+1x^94 The gray image is a code over GF(2) with n=116, k=14 and d=44. This code was found by Heurico 1.16 in 34.5 seconds.