The generator matrix

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

generates a code of length 83 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+66x^74+90x^75+111x^76+150x^77+122x^78+144x^79+156x^80+152x^81+115x^82+120x^83+102x^84+90x^85+82x^86+74x^87+76x^88+60x^89+72x^90+50x^91+43x^92+26x^93+38x^94+22x^95+15x^96+20x^97+11x^98+10x^99+8x^100+14x^101+6x^102+2x^107

The gray image is a code over GF(2) with n=166, k=11 and d=74.
This code was found by Heurico 1.16 in 0.81 seconds.