Dear Vytas,
the size of your dataset is the following: 28 samples and 195 features. Much of your features are noisy or redundant, so a complex model such as SVM-RFE is not able to find 64 good features to build the model as you can see in your error.
1. This package has pre-processing options in order to reduce noise and redundant features by removing correlated features and non zero variance features. Use these options in order to remove as much features as you can. Flags: fRemNear0Var="T",fRemCorr="T"
After this process your dataset will be 28 x 66.
2. Please, fell free to read the following reference regarding C and eps parameters as the error is probably indicating that those values are not good for finding support vectors, you need to search for new ones.
Default are: RFE_SVM_C="1;5;10;15;20",RFE_SVM_epsilon="0.01;0.1;0.3"
3. Please, sometimes consider to normalize or standardize your dataset. Flag: fScaling="T"
4. Could you please report caret version? as you can see in my trace I manually follow all the steps aforementioned with no errors using version 6.0-52
packageVersion("caret")
[1] ‘6.0.52’