The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+93x^24+4x^25+121x^26+38x^27+291x^28+162x^29+367x^30+458x^31+748x^32+978x^33+1038x^34+1564x^35+1419x^36+1812x^37+1406x^38+1524x^39+1069x^40+968x^41+812x^42+478x^43+385x^44+170x^45+264x^46+34x^47+71x^48+2x^49+74x^50+17x^52+10x^54+2x^56+3x^58+1x^62

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 15.4 seconds.