The generator matrix

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

generates a code of length 87 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+45x^74+100x^75+186x^76+212x^77+312x^78+316x^79+343x^80+352x^81+395x^82+420x^83+383x^84+460x^85+394x^86+470x^87+451x^88+456x^89+410x^90+360x^91+365x^92+352x^93+285x^94+268x^95+220x^96+164x^97+156x^98+72x^99+77x^100+48x^101+40x^102+34x^103+14x^104+4x^105+9x^106+8x^107+5x^108+1x^110+2x^112+1x^114+1x^120

The gray image is a code over GF(2) with n=174, k=13 and d=74.
This code was found by Heurico 1.16 in 14.9 seconds.