The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  1  2  2  1  2  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  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  2  2  0  2  2  2  2  2  2  2  0  0  0  2  0  2  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  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  0  0  0  2  2  0  0  2  0  2  0  2  2  2  0  0  2  2  0  0  2  0  2  0  2  2  2  2  0  0  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  2  2  2  0  2  2  2  2  2  2  0  0  0  2  2  2  0  2  0  0  2  2  0  0  2  0  0  0  0  2  0  0  0  0  2  2  2  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  0  2  0  0  2  0  2  0  0  2  2  2  0  0  2  0  2  0  0  2  2  0  0  2  2  2  2  0  0  0  0  2  2  2  0  0  2  0  2  2  2  0  0  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  2  2  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  0  2  2  0  2  0  0  0  2  2  0  2  0  2  2  2  0  0  0  0  0  0  2  0  0  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  2  2  2  0  0  0  0  0  2  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  2  0  2  2  2  0  2  2  0  2  2  0  0  0  0  2  0  0  2  2  2  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  0  2  2  0  2  0  2  0  2  2  0  2  0  2  2  2  2  2  0  2  2  0  0  2  0  2  0  0  2  2  0  0  2  2  2  2  0  0  2  2  0  2  2  2  0  2  2  0  0  2  2  0  2  0  2  2  2
 0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  0  0  2  0  2  0  0  0  2  0  0  2  2  0  0  2  0  0  2  0  0  2  2  0  2  0  2  2  0  2  0  2  2  0  2  0  0  2  2  0  2  0  0  0  2  2  0  2  0  2  2
 0  0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  0  2  0  0  0  2  2  2  0  0  2  2  2  2  2  0  0  0  2  0  2  0  2  0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  2  2  0  2  0  2  2  2  2  0  0  0  2  2  2  2  0  0
 0  0  0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  2  2  0  0  0  2  2  0  0  2  2  2  2  0  0  2  0  0  0  0  0  2  2  2  0  0  2  2  0  2  0  0  0  0  0  2  2  2  0  0  0  2  0  2  0  0  2  2
 0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  0  0  2  0  0  2  2  2  2  0  2  0  0  2  0  2  2  0  2  2  0  0  2  2  2  0  0  0  2  0  0  0  0  0  2  0  2  0  2  2  0  2  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2
 0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  0  2  2  2  0  2  2  2  0  2  0  2  0  0  2  0  2  2  2  2  0  2  0  2  2  0  0  2  2  2  2  2  0  2  2  0  2  0  0  2  2  0  2  2  0  2  2

generates a code of length 77 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+48x^58+155x^60+232x^62+346x^64+428x^66+471x^68+593x^70+1008x^72+1985x^74+2900x^76+2882x^78+2002x^80+1095x^82+647x^84+494x^86+378x^88+287x^90+200x^92+114x^94+71x^96+29x^98+10x^100+5x^102+2x^104+1x^140

The gray image is a code over GF(2) with n=154, k=14 and d=58.
This code was found by Heurico 1.16 in 77.5 seconds.