The generator matrix

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

generates a code of length 58 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+81x^48+92x^49+127x^50+176x^51+193x^52+258x^53+261x^54+250x^55+275x^56+264x^57+250x^58+284x^59+230x^60+244x^61+232x^62+208x^63+165x^64+140x^65+121x^66+84x^67+63x^68+26x^69+27x^70+22x^71+13x^72+6x^74+2x^76+1x^80

The gray image is a code over GF(2) with n=116, k=12 and d=48.
This code was found by Heurico 1.16 in 2.04 seconds.