The generator matrix

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

generates a code of length 42 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+43x^28+10x^29+167x^30+154x^31+394x^32+478x^33+676x^34+836x^35+1206x^36+1440x^37+1891x^38+2346x^39+2453x^40+2932x^41+2724x^42+2888x^43+2435x^44+2330x^45+1908x^46+1534x^47+1246x^48+870x^49+665x^50+404x^51+360x^52+124x^53+143x^54+30x^55+49x^56+8x^57+14x^58+4x^60+3x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=84, k=15 and d=28.
This code was found by Heurico 1.16 in 59.9 seconds.