The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+80x^29+187x^30+196x^31+223x^32+294x^33+290x^34+310x^35+317x^36+322x^37+315x^38+318x^39+347x^40+238x^41+201x^42+178x^43+126x^44+86x^45+30x^46+22x^47+9x^48+4x^49+1x^50+1x^60

The gray image is a code over GF(2) with n=74, k=12 and d=29.
This code was found by Heurico 1.10 in 1.09 seconds.