The generator matrix

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

generates a code of length 58 over Z4 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+38x^53+75x^54+78x^55+63x^56+52x^57+37x^58+32x^59+23x^60+16x^61+17x^62+8x^63+10x^64+8x^65+11x^66+4x^67+11x^68+10x^69+4x^70+2x^71+2x^72+4x^73+4x^75+2x^76

The gray image is a code over GF(2) with n=116, k=9 and d=53.
This code was found by Heurico 1.10 in 4.88 seconds.