The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 1 0 2 1 1 1 1 1 1 1 1 1 1 2 0 1 2 0 2 1 1 1 0 1 1 0 1 1 1 0 2 2 1 1 1 1 1 0 0 0 1 1 2 1 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 3 3 3 1 2 1 1 0 2 1 1 2 1 0 1 2 1 0 1 2 0 2 3 1 1 2 1 2 2 0 1 0 0 0 1 2 0 2 1 1 0 0 0 0 1 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 1 1 3 3 3 1 1 1 1 1 1 3 0 1 3 1 2 2 3 3 3 1 1 0 3 0 2 1 0 0 0 0 0 1 0 0 0 0 0 1 1 2 3 1 1 3 0 2 2 3 0 1 0 2 3 2 1 1 1 3 1 1 2 0 3 3 0 0 0 1 3 3 3 1 3 3 3 0 3 3 0 2 2 0 2 0 1 0 0 0 0 0 1 0 0 0 1 0 2 3 1 3 1 1 2 0 1 2 3 3 1 2 1 1 0 3 0 3 2 3 0 2 1 3 1 1 1 2 3 3 3 3 1 3 1 3 2 1 2 1 3 0 0 1 3 0 0 0 0 0 0 1 0 0 1 2 3 3 2 3 1 0 3 2 0 3 2 1 1 1 3 2 0 1 1 2 2 0 2 3 1 3 1 3 0 0 0 3 2 2 1 2 2 2 2 3 0 3 0 0 1 3 1 0 0 0 0 0 0 0 1 0 1 3 2 0 0 2 1 2 0 1 3 3 1 3 0 1 0 2 3 1 2 0 1 3 2 2 1 2 3 0 0 0 0 1 3 3 1 3 3 1 0 2 1 0 0 3 3 2 3 0 0 0 0 0 0 0 0 1 2 1 2 3 0 0 1 1 3 3 2 2 1 3 0 0 1 3 1 2 1 2 0 2 0 0 1 1 1 1 2 3 2 0 2 1 0 0 1 3 3 1 3 2 0 0 2 3 2 1 generates a code of length 58 over Z4 who´s minimum homogenous weight is 43. Homogenous weight enumerator: w(x)=1x^0+38x^43+163x^44+280x^45+539x^46+760x^47+987x^48+1254x^49+1694x^50+2114x^51+2559x^52+3040x^53+3552x^54+4072x^55+4340x^56+4576x^57+4799x^58+4912x^59+4531x^60+4232x^61+3735x^62+3264x^63+2742x^64+2102x^65+1648x^66+1218x^67+868x^68+544x^69+342x^70+240x^71+170x^72+84x^73+67x^74+22x^75+20x^76+16x^77+8x^78+3x^84 The gray image is a code over GF(2) with n=116, k=16 and d=43. This code was found by Heurico 1.10 in 406 seconds.