The generator matrix

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

generates a code of length 46 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+44x^38+84x^39+115x^40+162x^41+154x^42+142x^43+171x^44+144x^45+139x^46+150x^47+117x^48+118x^49+109x^50+100x^51+78x^52+84x^53+49x^54+34x^55+27x^56+4x^57+17x^58+2x^59+3x^60

The gray image is a code over GF(2) with n=92, k=11 and d=38.
This code was found by Heurico 1.10 in 0.125 seconds.