Multiple-element transmit (mTx) phased array technology provides significant improvement of the B1+-field homogeneity in ultra-high field (B0≥7T) cardiac MRI (cMRI). We propose time efficient semi-combinatorial approach of finding optimal Tx-elements phases presets. The proposed technique allows for searching the transmitter phases providing absolute optimum for а targeted B1+-field cost functions using high redundancy of optimal phase vector space. The technique was tested for pre-phasing of the in-house-built mTX-arrays in pigs at 7T cMRI. Improvement of the B1+-field homogeneity of >100% and SNR gain >50% was achieved using 10% of the computation time needed when compared with brute-force optimization.