The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+58x^26+42x^27+170x^28+174x^29+312x^30+374x^31+575x^32+720x^33+945x^34+1212x^35+1297x^36+1542x^37+1472x^38+1564x^39+1302x^40+1280x^41+953x^42+754x^43+601x^44+330x^45+288x^46+142x^47+136x^48+48x^49+59x^50+8x^51+11x^52+2x^53+8x^54+2x^56+1x^58+1x^60

The gray image is a code over GF(2) with n=76, k=14 and d=26.
This code was found by Heurico 1.16 in 16 seconds.