The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+65x^48+84x^49+134x^50+202x^51+252x^52+282x^53+211x^54+238x^55+268x^56+252x^57+235x^58+250x^59+273x^60+258x^61+209x^62+198x^63+145x^64+110x^65+135x^66+108x^67+71x^68+36x^69+32x^70+28x^71+13x^72+2x^73+4x^74

The gray image is a code over GF(2) with n=116, k=12 and d=48.
This code was found by Heurico 1.10 in 0.688 seconds.