The generator matrix

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

generates a code of length 44 over Z4 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+82x^33+197x^34+280x^35+398x^36+538x^37+656x^38+796x^39+934x^40+1080x^41+1170x^42+1286x^43+1363x^44+1356x^45+1327x^46+1096x^47+1011x^48+828x^49+597x^50+504x^51+329x^52+248x^53+133x^54+68x^55+57x^56+26x^57+15x^58+2x^59+2x^60+2x^61+1x^64+1x^66

The gray image is a code over GF(2) with n=88, k=14 and d=33.
This code was found by Heurico 1.16 in 40.7 seconds.