The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+86x^24+125x^26+38x^27+341x^28+192x^29+472x^30+510x^31+841x^32+956x^33+974x^34+1468x^35+1221x^36+1792x^37+1254x^38+1564x^39+1040x^40+984x^41+870x^42+478x^43+447x^44+160x^45+308x^46+38x^47+110x^48+12x^49+78x^50+7x^52+14x^54+2x^56+1x^58

The gray image is a code over GF(2) with n=74, k=14 and d=24.
This code was found by Heurico 1.16 in 13.5 seconds.