The generator matrix

1 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 1 1 2 1 2 2 1 2 0 0 1 0 1 1 0 1 0 2 2 2 1 2 1 0 1 1 2 2 0 2 2 1 1 1 1 1 1 1 1 0 1 1
0 1 0 0 0 0 0 0 0 0 0 1 1 1 3 1 1 2 1 2 0 1 3 2 1 0 3 1 1 3 0 3 1 2 1 1 0 1 1 2 0 3 1 1 2 1 2 0 3 1 2 1 2 3 0 1 3 0
0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 1 1 3 3 1 1 2 3 1 0 1 1 2 1 0 1 3 3 1 1 1 3 3 0 1 2 1 2 2 2 1 1 1 2 3 3 3 2 1 2 2 1 1
0 0 0 1 0 0 0 1 1 1 2 2 0 1 1 1 3 2 0 3 1 3 0 0 2 1 2 1 0 3 3 3 1 2 1 0 2 2 3 1 3 1 0 0 1 3 1 0 2 2 3 3 2 0 2 3 3 0
0 0 0 0 1 0 1 0 1 3 2 2 1 3 2 2 3 1 3 2 0 2 2 1 3 3 3 1 0 0 0 0 0 1 3 0 0 1 2 0 3 2 1 1 2 0 0 3 3 2 3 3 3 1 3 1 0 0
0 0 0 0 0 1 1 3 2 1 1 3 0 1 3 0 0 0 0 2 3 3 0 1 3 0 1 2 0 0 3 1 2 3 1 3 3 2 1 2 2 0 0 2 1 1 2 3 2 3 2 3 0 2 2 2 3 2
0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 2 2 2 0 0 0 2

generates a code of length 58 over Z4 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+44x^47+142x^48+212x^49+303x^50+362x^51+372x^52+436x^53+488x^54+504x^55+434x^56+502x^57+610x^58+554x^59+503x^60+488x^61+484x^62+376x^63+325x^64+320x^65+231x^66+186x^67+131x^68+84x^69+60x^70+20x^71+10x^72+6x^73+2x^75+1x^76+1x^84

The gray image is a code over GF(2) with n=116, k=13 and d=47.
This code was found by Heurico 1.10 in 3.19 seconds.