The generator matrix

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

generates a code of length 84 over Z4 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+52x^75+96x^76+134x^77+134x^78+144x^79+167x^80+140x^81+132x^82+108x^83+98x^84+102x^85+103x^86+106x^87+64x^88+50x^89+78x^90+46x^91+50x^92+52x^93+42x^94+36x^95+24x^96+26x^97+14x^98+16x^99+12x^100+8x^101+9x^102+2x^103+2x^107

The gray image is a code over GF(2) with n=168, k=11 and d=75.
This code was found by Heurico 1.16 in 0.848 seconds.