The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^22+110x^23+359x^24+526x^25+867x^26+1046x^27+1544x^28+1864x^29+2301x^30+2894x^31+2942x^32+3348x^33+2995x^34+3044x^35+2480x^36+2024x^37+1571x^38+978x^39+769x^40+398x^41+313x^42+118x^43+88x^44+32x^45+35x^46+2x^47+9x^48+1x^50+1x^54

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 42.1 seconds.