The generator matrix

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

generates a code of length 83 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+108x^78+98x^80+118x^82+59x^84+32x^86+37x^88+16x^90+16x^92+6x^94+7x^96+2x^98+3x^100+4x^102+1x^104+2x^108+2x^110

The gray image is a code over GF(2) with n=166, k=9 and d=78.
This code was found by an older version of Heurico in 0 seconds.