The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+102x^49+232x^50+310x^51+420x^52+516x^53+606x^54+706x^55+829x^56+892x^57+992x^58+992x^59+1037x^60+1136x^61+1011x^62+1014x^63+976x^64+910x^65+857x^66+732x^67+629x^68+496x^69+329x^70+248x^71+198x^72+104x^73+66x^74+30x^75+6x^76+4x^77+2x^78+1x^106

The gray image is a code over GF(2) with n=122, k=14 and d=49.
This code was found by Heurico 1.16 in 87.2 seconds.