The generator matrix

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

generates a code of length 88 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+61x^74+281x^76+322x^78+704x^80+613x^82+916x^84+792x^86+968x^88+781x^90+816x^92+641x^94+613x^96+255x^98+242x^100+87x^102+48x^104+14x^106+15x^108+13x^110+2x^112+4x^114+2x^116+1x^118

The gray image is a code over GF(2) with n=176, k=13 and d=74.
This code was found by Heurico 1.16 in 16.1 seconds.