The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^48+100x^49+138x^50+194x^51+235x^52+268x^53+229x^54+238x^55+279x^56+258x^57+282x^58+262x^59+261x^60+202x^61+192x^62+218x^63+172x^64+150x^65+112x^66+104x^67+54x^68+42x^69+37x^70+8x^71+12x^72+4x^73+2x^76+2x^78

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 1.87 seconds.