The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+80x^26+86x^27+279x^28+336x^29+519x^30+568x^31+740x^32+976x^33+1085x^34+1312x^35+1359x^36+1570x^37+1352x^38+1430x^39+1179x^40+962x^41+818x^42+588x^43+469x^44+230x^45+207x^46+106x^47+63x^48+22x^49+33x^50+6x^51+5x^52+2x^54+1x^56

The gray image is a code over GF(2) with n=74, k=14 and d=26.
This code was found by Heurico 1.16 in 29 seconds.