The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+60x^38+80x^39+85x^40+96x^43+58x^46+80x^47+31x^48+8x^54+11x^56+2x^62

The gray image is a code over GF(2) with n=86, k=9 and d=38.
This code was found by Heurico 1.16 in 52.3 seconds.