The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+90x^22+146x^23+346x^24+590x^25+885x^26+944x^27+1488x^28+1968x^29+2275x^30+2746x^31+3091x^32+3376x^33+3048x^34+2948x^35+2324x^36+2100x^37+1612x^38+1018x^39+858x^40+386x^41+257x^42+124x^43+76x^44+28x^45+23x^46+10x^47+8x^48+2x^50

The gray image is a code over GF(2) with n=66, k=15 and d=22.
This code was found by Heurico 1.16 in 45.2 seconds.