The generator matrix

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

generates a code of length 92 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+88x^78+236x^80+471x^82+625x^84+775x^86+815x^88+819x^90+765x^92+783x^94+792x^96+629x^98+532x^100+338x^102+249x^104+142x^106+72x^108+44x^110+6x^112+7x^114+2x^116+1x^120

The gray image is a code over GF(2) with n=184, k=13 and d=78.
This code was found by Heurico 1.10 in 5.55 seconds.