The generator matrix

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

generates a code of length 59 over Z4 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+66x^51+111x^52+146x^53+172x^54+156x^55+140x^56+122x^57+147x^58+124x^59+111x^60+100x^61+92x^62+92x^63+99x^64+100x^65+71x^66+62x^67+33x^68+42x^69+24x^70+8x^71+16x^72+2x^73+5x^74+4x^75+1x^76+1x^82

The gray image is a code over GF(2) with n=118, k=11 and d=51.
This code was found by Heurico 1.16 in 59.3 seconds.