The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+77x^24+52x^26+4x^27+206x^28+68x^29+219x^30+200x^31+420x^32+448x^33+483x^34+840x^35+584x^36+1000x^37+568x^38+784x^39+507x^40+480x^41+465x^42+212x^43+198x^44+52x^45+192x^46+8x^47+51x^48+53x^50+4x^52+12x^54+3x^58+1x^62

The gray image is a code over GF(2) with n=74, k=13 and d=24.
This code was found by Heurico 1.16 in 3.98 seconds.