The generator matrix

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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+93x^74+193x^76+187x^78+146x^80+112x^82+66x^84+62x^86+43x^88+33x^90+39x^92+15x^94+17x^96+10x^98+6x^100+1x^104

The gray image is a code over GF(2) with n=162, k=10 and d=74.
This code was found by Heurico 1.16 in 0.27 seconds.