The generator matrix

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

generates a code of length 92 over Z4 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+21x^86+56x^87+53x^88+58x^89+50x^90+62x^91+34x^92+20x^93+34x^94+32x^95+23x^96+4x^97+11x^98+4x^99+14x^100+2x^101+7x^102+3x^104+6x^105+2x^106+4x^109+2x^110+4x^111+1x^114+2x^115+2x^125

The gray image is a code over GF(2) with n=184, k=9 and d=86.
This code was found by Heurico 1.10 in 0.015 seconds.