The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^75+89x^76+82x^77+112x^78+88x^79+90x^80+74x^81+51x^82+64x^83+47x^84+46x^85+26x^86+26x^87+26x^88+26x^89+8x^90+8x^91+15x^92+20x^93+16x^94+12x^95+15x^96+4x^97+9x^98+5x^100+4x^101+2x^102+2x^103

The gray image is a code over GF(2) with n=164, k=10 and d=75.
This code was found by Heurico 1.16 in 0.293 seconds.