The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+70x^23+193x^24+290x^25+469x^26+554x^27+725x^28+940x^29+1169x^30+1376x^31+1481x^32+1646x^33+1538x^34+1460x^35+1314x^36+1000x^37+770x^38+566x^39+321x^40+206x^41+137x^42+66x^43+57x^44+12x^45+13x^46+4x^47+4x^48+2x^49

The gray image is a code over GF(2) with n=66, k=14 and d=23.
This code was found by Heurico 1.16 in 62.5 seconds.