The generator matrix

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

generates a code of length 59 over Z4 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+42x^43+115x^44+240x^45+432x^46+628x^47+866x^48+1070x^49+1375x^50+1714x^51+2151x^52+2622x^53+2911x^54+3456x^55+3853x^56+4260x^57+4600x^58+4610x^59+4532x^60+4228x^61+4008x^62+3684x^63+3101x^64+2678x^65+2211x^66+1666x^67+1396x^68+1026x^69+723x^70+492x^71+309x^72+228x^73+107x^74+80x^75+53x^76+28x^77+14x^78+12x^79+6x^80+4x^81+2x^82+1x^84+1x^90

The gray image is a code over GF(2) with n=118, k=16 and d=43.
This code was found by Heurico 1.10 in 517 seconds.