The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^53+83x^54+64x^55+32x^56+38x^57+67x^58+34x^59+16x^60+20x^61+25x^62+20x^63+7x^64+8x^65+9x^66+4x^67+8x^69+8x^70+4x^71+8x^72+2x^73+2x^75

The gray image is a code over GF(2) with n=116, k=9 and d=53.
This code was found by Heurico 1.16 in 2.04 seconds.