The generator matrix

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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+2x^75+16x^76+52x^77+75x^78+56x^79+37x^80+48x^81+56x^82+46x^83+19x^84+16x^85+14x^86+6x^87+5x^88+4x^89+2x^90+8x^91+3x^92+4x^93+11x^94+2x^95+13x^96+4x^97+2x^98+8x^99+2x^100

The gray image is a code over GF(2) with n=164, k=9 and d=75.
This code was found by Heurico 1.10 in 0.015 seconds.