Strawberry plant named ‘PEP-12.6010’

This invention relates to a new and distinct variety of strawberry plant named ‘PEP-12.6010’. This new strawberry plant named ‘PEP-12.6010’ is primarily adapted to the growing conditions of the central coast of California, and is primarily characterized by its red fruit color, large fruit size, and conical fruit shape, with very strong gloss; good fruit flavor, medium fruit flesh firmness, with seeds held level with the surface; medium to large plant size, semi-upright in habit, with medium density; medium green foliage color, and small to medium foliage size; fruiting trusses typically held level with the plant, with medium pubescence; and resistance to Fusarium wilt.